Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 8 Answered

Q. ABCD is a rhombus in which the altitude from D to side AB bisects AB. Then angle A and angle B respectively are what?
Asked by abbu786 | 28 Sep, 2017, 03:22: PM
answered-by-expert Expert Answer
begin mathsize 16px style In space triangle AED space and space triangle BED comma AE equals BE thin space space space space left parenthesis DE space bisects space AB right parenthesis angle AED equals angle BED space space space space space left parenthesis Each space right space angle right parenthesis DE equals DE space space space space space space space left parenthesis common right parenthesis therefore space space triangle AED space approximately equal to triangle BED space space space space space left parenthesis SAS space congruence right parenthesis rightwards double arrow AD equals BD space space space space space left parenthesis CPCT right parenthesis But thin space AD equals AB space space space space space left parenthesis Sides space of space straight a space rhombus space are space equal right parenthesis rightwards double arrow AD equals AB equals BD rightwards double arrow triangle ABD space is space an space equilateral space triangle. rightwards double arrow angle straight A equals 60 degree Now comma space angle straight A equals angle straight C equals 60 degree space space space space left parenthesis Opposite space angles space of space thin space rhombus space are space equal right parenthesis Sum space space of space adjacent space angles space of space straight a space rhombus space are space supplementary. rightwards double arrow angle ABC plus angle BCD equals 180 degree rightwards double arrow angle ABC equals 120 degree Hence comma space angle straight A equals 60 degree space and space angle straight B equals 120 degree end style
 
Answered by Rashmi Khot | 29 Sep, 2017, 12:53: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 8 - Maths
Three angles of a quadrilateral are in the ratio 3 ratio difference of the list and the greatest of these angles is 45 degree find all the four angles of the quadrilateral
Asked by rasal3771 | 24 Feb, 2023, 06:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
PQRS is a rectangle. If PQ= 4cm and SP= 3cm. Find OS
Asked by antya2305 | 07 Jul, 2022, 09:56: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
How many diagonals does a triangle have?
Asked by pramilam | 14 Feb, 2022, 04:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
the angles of a quadrilateral are in ratio 2:5:7:4.Find the measure of all the angles of the quadrilateral.
Asked by tanmaysinghrathore6 | 04 Aug, 2021, 07:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
Two of the angles of a quadrilateral are 75° and 105° . If the other two angles are equal , find the measure of the other two angles.
Asked by potphodenamita | 22 Sep, 2020, 08:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles A and C respectively. Show that AE||CF.
Asked by seemamehra1805 | 02 Sep, 2020, 01:57: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
Find the value of x if x,(2x + 13°),(3x+10°) and ( x-6°) are all the angles of a quadrilateral
question image
Asked by mokshithaanneboina | 26 Jun, 2020, 07:25: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
two adjacent angles of पैरेललोग्राम हैव इक्वल मेजर फाइंड द मेजर ऑफ इच ऑफ द एंगल ऑफ द पैरेललोग्राम
Asked by armaanmeena1111 | 06 May, 2020, 02:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
ABCD Is a square. Its diagonals AC and BD intersect each other at O. Find the measure of angle CAD and angle DBC.
Asked by Kumarshourya90 | 08 Oct, 2019, 02:37: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
Find the dimensions of a rectangle if its perimeter is 100 cm and its length is 20cm more than its breadth 
Asked by Abhilashakharadkar53373 | 02 Jun, 2019, 11:02: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×