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• CBSE×
• Class 9×
• Mathematics×
• Lines And Angles×
• Angle Sum Property Of A Triangle×

# Angle Sum Property Of A Triangle Free Doubts and Solutions

### CBSE - IX - Mathematics - Lines and Angles

Asked by Girishdhawan 1st July 2018, 3:13 PM

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## In triangle ABC, AE is the bisector of angle BAC and AD is perpendicular to BC. Show that angle DAE is equal to 1/2(angle C- angle B).

Asked by mandaokar 26th February 2018, 8:44 PM

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## Show that equiangular triangle is also equilateral ?

Asked by Vikas 13th July 2017, 10:29 AM

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## hi sir ho do i ask my question with the help of a diagram

Asked by Amanjot 8th August 2016, 6:47 PM

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## My question is that.......please can you explain me stepwise the answer of exercise 6.3 ques no.-6

Asked by Rishi_2109 28th July 2016, 9:25 PM

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## <div><span style="color: #53555b; font-family: Lato, sans-serif; font-size: 15px; font-weight: bold; line-height: 20px;">It is given that&nbsp;</span><img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; font-size: 15px; color: #53555b; font-family: Lato, sans-serif; font-weight: bold; line-height: 20px; vertical-align: middle !important; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/944_4934c411dbc1a55c0b7875b3e0fc862a.png" alt="" align="middle" /><span style="color: #53555b; font-family: Lato, sans-serif; font-size: 15px; font-weight: bold; line-height: 20px;">XYZ =&nbsp; 64� and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects&nbsp;</span><img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; font-size: 15px; color: #53555b; font-family: Lato, sans-serif; font-weight: bold; line-height: 20px; vertical-align: middle !important; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/944_4934c411dbc1a55c0b7875b3e0fc862a.png" alt="" align="middle" /><span style="color: #53555b; font-family: Lato, sans-serif; font-size: 15px; font-weight: bold; line-height: 20px;">ZYP, find&nbsp;</span><img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; font-size: 15px; color: #53555b; font-family: Lato, sans-serif; font-weight: bold; line-height: 20px; vertical-align: middle !important; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/944_4934c411dbc1a55c0b7875b3e0fc862a.png" alt="" align="middle" /><span style="color: #53555b; font-family: Lato, sans-serif; font-size: 15px; font-weight: bold; line-height: 20px;">XYQ and reflex&nbsp;</span><img class="Wirisformula" style="padding: 0px; margin: 0px; outline: 0px; font-size: 15px; color: #53555b; font-family: Lato, sans-serif; font-weight: bold; line-height: 20px; vertical-align: middle !important; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;" title="Double click to edit" src="https://images.topperlearning.com/topper/bookquestions/944_4934c411dbc1a55c0b7875b3e0fc862a.png" alt="" align="middle" /><span style="color: #53555b; font-family: Lato, sans-serif; font-size: 15px; font-weight: bold; line-height: 20px;">QYP.</span></div>

Asked by Turjo Bhattacharjee 12th July 2015, 9:52 PM

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## prove that the sum of angles of a triangle is 180.Using this find all the angles of a triangle if the angles are in the ratio 1:2:3. Give your view how the measure of angles useful in making furniture? Is accuracy necessary in measurements?

Asked by kumarasia 22nd September 2014, 8:47 AM

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## <div>Bisectors of angle B and Cof a triangle intersect each other at point 'O'.Prove thatangle BOC=</div> <div>90<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=b11d7e43055ab38e82de105768df5315.png" alt="ring operator" align="middle" />&nbsp;+1/2<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=10760cd90092037cd4f09dde6a7d7bb7.png" alt="angle" align="middle" />A</div>

Asked by Delin 31st August 2014, 2:46 PM

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## <div>Bisectors of angle B and Cof a triangle intersect each other at point 'O'.Prove thatangle BOC=</div> <div>90<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=b11d7e43055ab38e82de105768df5315.png" alt="ring operator" align="middle" />&nbsp;+1/2<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=10760cd90092037cd4f09dde6a7d7bb7.png" alt="angle" align="middle" />a</div>

Asked by Delin 31st August 2014, 2:46 PM

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## axiom 6.1

Asked by deepakrana33 8th August 2014, 5:51 PM

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## how does angle a meets angle b and c

Asked by snmanjunath62 6th July 2014, 2:39 PM

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## Ajay was asked to find the sum of the four angles of a quadrilateral. He found the sum of the four angles as 270o by giving the reasoning as follows: Sum of the three angles of a traingle [made up of three sides] = 2 right angles = (3-1) right angles. So, sum of the four angles of quadrilateral [made up of four sides] = (4 – 1) right angles = 3 right angles = 270o His classmate Anju pointed out that the sum obtained is incorrect and found the correct sum. Ajay accepted his mistake and thanked Anju for the same. Write the correct solution. What value is depicted from this action?

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Find x and y in the given figure.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In figure, TQ and TR are the bisectors of Q and R respectively, QPR = 80°, PRT = 30°.Determine TQR and QTR.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In the given figure, Prove that x = a + b + c.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In ΔXYZ, YO and ZO are the bisectors of ÐXYZ and ÐXZY respectively of ΔXYZ. If X = 62°, XYZ = 54°, then find ÐOZY.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In fig., find the value of x.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In figure, the side QR of PQR is produced to a point S. If the bisectors of PQR and PRS meet at point T, then prove that QTR = QPR.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Prove that the sum of the angles of a triangle is 1800.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In figure, if line segment AB intersects CD at O such that OAD = 800, ODA= 500 and OCB= 400, then find OBC.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In fig., if QTPR, TQR = 40° and SPR = 30° find the value of x and y.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In fig., find the value of x.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In figure, and bisector of meets BC at a point D. Find the value of

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Lines and Angles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## The sides BA and DC of a quadrilateral ABCD are produced as shown in fig. Show that x + y = a + b.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In fig., the side BC of ABC is produced to D, the bisector of BAC intersects the side BC at E. Prove that ABC + ACD = 2AEC.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## An angle is equal to five times of its complement. Find the measure of the angle.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Prove that an equilateral triangle can be constructed on any given line segment.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In fig., in PQR, right angled at P. PS is perpendicular to QR. Prove that QPS = PRQ.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## If the bisectors of the angles ABC and ACB of a triangle ABC meet at point O then prove that BOC = 90o + .

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In figure, if PQ||RS, ACS = 117o then find (x - y).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In figure the side QR of PQR is produce to a point S. If the bisectors of PQR and PRS meet at T, then prove that QTR =.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Lines and Angles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Prove that each angle of an equilateral triangle is 60o.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## If the angles of a triangle are in the ratio 1:2:3 then find the measure of angles.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In figure find the value of QRP when QP||TR.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Prove that sum of the exterior angle of a triangle is 360o.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In figure, if PQ||RS, then find SRO.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Lines and Angles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Two lines AB, CD are intersected by a transversal EF. What is the measure of the angle between the bisectors of the co interior angles formed due to these lines?

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## The angles of a triangle are in the ratio 2:3:5. If the longest and the shortest sides are 10 and 6 cm respectively, what is the third side?

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Prove that the sum of all the interior angles of a pentagon is 540o.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Lines and Angles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Prove that the angle between the interior bisectors of any two angles is equal to 90 degrees plus half the third angle.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Lines and Angles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In the figure show that A+ B+C +D+ E+F = 360o.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## If the sides of a triangle are produced in order, prove that the sum of the exterior angles so formed is equal to four right angles.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In the figure ACCE and A:B :C = 3: 2: 1, find the value of ECD

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## A triangle LMN is right angled at L. If LO MN, prove that MLO = LNM.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Calculate the value of x in the given figure.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In triangle PQR, if P - Q = 42o and Q - R = 21o, find P, Q and R.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In triangle ABC, if A + B = 108o and B +C = 130o, find A, B and. C

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## The sides AB and AC of a triangle are produced to D and E respectively. The bisectors of CBD and BCE meet at O. If A = 40o, find BOC.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## If the bisectors of B and C of triangle of a ABC intersect at O, then prove that BOC = 90o + .

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Can a triangle have (i) Two right angles?     (ii) All angles less than 60o? (iii) All angles equal to 60o?  (iv)Two acute angles? Justify your statement in each case.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## The exterior angles obtained on producing the base of a triangle both ways are 100° and 120° respectively. Find all the angles.

Asked by Topperlearning User 5th December 2013, 2:04 AM

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## In fig., BO and CO are bisectors of DBC and ECB respectively. If BAC = 50o and ABC = 60o then find the measure of BOC.

Asked by Topperlearning User 5th December 2013, 1:58 AM

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## In figure, if AB||CD, FAE = 90o and AFE = 40o then find ECD.

Asked by Topperlearning User 5th December 2013, 1:56 AM

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## In figure, BP AC, PBC = 25o and DAC = 30o. Find the value of x.

Asked by Topperlearning User 5th December 2013, 1:11 AM