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Home /Doubts and Solutions/CBSE/Class 9/Mathematics/Quadrilaterals/Angle Relations In Parallelogram

Angle Relations In Parallelogram Free Doubts and Solutions

CBSE - IX - Mathematics - Quadrilaterals

Asked by Topperlearning User 19th February 2018, 9:52 AM
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CBSE - IX - Mathematics - Quadrilaterals

Please solve question no 4 with proper explanation 

Asked by adityaahuja099 10th November 2017, 4:10 PM
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CBSE - IX - Mathematics - Quadrilaterals

The diagonal of a rectangle ABCD intersect at O. iff BOC
= 44 find OAB.

Asked by Yash 5th November 2017, 5:57 PM
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CBSE - IX - Mathematics - Quadrilaterals

Prove that diagonal of a parallelogram divides it into two triangle congruent to each other.
 
 

Asked by Yash 5th November 2017, 5:51 PM
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CBSE - IX - Mathematics - Quadrilaterals

Show that of the diagonals of a quardilateral bisect each other at right angles, then its a rhombus.

Asked by Jitendra 26th September 2017, 4:31 PM
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CBSE - IX - Mathematics - Quadrilaterals

sir
  can you say me some important questions in quadrilaterals which are repeated board exam questions
 and same for other chapters

Asked by seeni2005 8th March 2016, 7:14 PM
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CBSE - IX - Mathematics - Quadrilaterals

In a paraalelogram ABCD, AB=10 cm and AD=6cm. The bisector of angle A meets DC in E. AE and BC produced meet at F. Find the length of CF.

Asked by Aajnya 29th February 2016, 7:31 PM
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CBSE - IX - Mathematics - Quadrilaterals

PQRS is a rhombus in which diagonal PR is produced to T, if angle SRT = 152 , find angle x , y  and z?

Asked by nisha_vini29 23rd February 2016, 10:40 AM
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CBSE - IX - Mathematics - Quadrilaterals

ABCD is a Rhombus. EABF is a straight line such that EA = AB =BF. Prove that ED and FC when produced meet at a right angle.

Asked by kranjay30 11th October 2015, 12:29 PM
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CBSE - IX - Mathematics - Quadrilaterals

In the given figure, ABCD is a rectangle and X and Y are points on sides AD and BC respectively such that AY=BX. show that angleABX=BAY

Asked by rishabhshakya2 11th March 2015, 9:53 AM
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CBSE - IX - Mathematics - Quadrilaterals

Show that the bisectors of angles of a parallelogram form a rectangle.

Asked by pkirankumar4321 23rd February 2015, 9:21 PM
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CBSE - IX - Mathematics - Quadrilaterals


Find the measure of each angle of a parallelogram if one of its angles is 30 degrees less than twice the smaller angle.



Asked by avantikadandapani 17th November 2014, 7:05 PM
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CBSE - IX - Mathematics - Quadrilaterals


4. The vertices of a parallelogram lie on a circle. Prove that its diagonals are equal.

Asked by avantikadandapani 17th November 2014, 6:47 PM
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CBSE - IX - Mathematics - Quadrilaterals

if an angle of parallelogramis four -fifths of its adjacent angle,find the angles of parallelogram

Asked by dev 8th November 2014, 9:44 PM
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CBSE - IX - Mathematics - Quadrilaterals

Show that each angle of a rectangle is right angle.

Asked by abhinavkumar281 1st November 2014, 3:53 PM
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CBSE - IX - Mathematics - Quadrilaterals

ABCD IS A SQUARE EFG AND H ARE POINTS ON AB, BC, CDAND DA RESPECTIVELY SUCH THAT AE=BF=CG=DH.PROVE THAT EFGH IS A SQUARE.

Asked by M.s.srinidhi21 6th October 2014, 7:33 AM
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CBSE - IX - Mathematics - Quadrilaterals

The angle between the two altitudes of parallelogram through the vertex of an obtuse angle is 50o. Find the angles of parallelogram.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Two adjacent angles of a parallelogram are in the ratio 2 : 3. Find the measures of all the four angles of the parallelogram.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

In a parallelogram PQRS, the bisectors of adjacent angles R and S intersect each other at the point O. Prove that ROS = 90o.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Prove that the angle bisectors of a parallelogram form a rectangle.

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CBSE - IX - Mathematics - Quadrilaterals

Prove that the bisectors of any two consecutive angles of parallelogram intersect at right angles.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

ABCD is a rhombus. Show that diagonal AC bisects A as well as C and diagonal BD bisects B as well as D.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

In a parallelogram PQRS, if P = (3x - 5)0, Q = (2x + 15)o find the value of x.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

ABCD is a parallelogram in which A = 60o. If bisectors of A and B meets at P. Prove that AD = DP, PC = BC, DC = 2AD

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

The two opposite angles of a parallelogram are (3x - 10)o and (2x + 35)o. Find the measure of all the four angles of the parallelogram.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

PQRS is a parallelogram and SPQ = 60o. If the bisectors of P and Q meet at point A on RS, prove that A is the mid-point of RS.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

If PQRS is a rhombus with PQR = 55o, find PRS.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Two parallel lines l and m are intersected by a transversal p. Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Show that bisectors of angles of a parallelogram form a rectangle.

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CBSE - IX - Mathematics - Quadrilaterals

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CBSE - IX - Mathematics - Quadrilaterals

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CBSE - IX - Mathematics - Quadrilaterals

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CBSE - IX - Mathematics - Quadrilaterals

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Prove that the quadrilateral formed (if possible) by the internal angle bisectors of any quadrilateral is cyclic.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

ABCD is a rectangle with ABD = 40o. Determine DBC.     

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

In a ABC median AD is produced to X such that AD = DX. Prove that ABXC is a parallelogram.         

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Characterize the following statements a TRUE or FALSE and give reason for your answer. If a pair of adjacent sides of a parallelogram is equal, it must be a rhombus or a square.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

In the given figure, PN and RM are perpendiculars to the diagonal QS of a parallelogram PQRS. Prove that PNS RMQ and PN = RM.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

Find the measure of each angle of a parallelogram, if one of its angles is 30o less than twice the smallest angle.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Quadrilaterals

ABCD is a parallelogram in which X and Y are the mid points of AB and DC respectively. If AY and DX intersect in P while CX and BY intersect in Q, show that quadrilateral PXQY is a parallelogram.

Asked by Topperlearning User 9th December 2013, 2:35 AM
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CBSE - IX - Mathematics - Quadrilaterals

In a parallelogram, show that the angle bisectors of two adjacent angles intersect at right angle.

Asked by Topperlearning User 9th December 2013, 2:23 AM
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CBSE - IX - Mathematics - Quadrilaterals

The sides AB and CD of a parallelogram ABCD are bisected at E and F. Prove that EBFD is a parallelogram.

Asked by Topperlearning User 9th December 2013, 2:08 AM
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CBSE - IX - Mathematics - Quadrilaterals

In a parallelogram ABCD, prove that the sum of any two consecutive angles is 180o.

Asked by Topperlearning User 9th December 2013, 1:40 AM
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CBSE - IX - Mathematics - Quadrilaterals

LMNO is a parallelogram. Compute the values of x and y.

Asked by Topperlearning User 9th December 2013, 1:39 AM
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CBSE - IX - Mathematics - Quadrilaterals

In the figure ABCD is a parallelogram in which DAB = 80o and DBC = 60o. Calculate CDB and ADB.

Asked by Topperlearning User 9th December 2013, 1:37 AM
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