Question

AB = som
CD = dcm
AB CD is a quandrilateral in which
and sum of
langles A and B in 100. What is non
of quardilateral​

Answer 1

Answer:

What would you like to ask?

8th

Maths

Understanding Quadrilaterals

Parallelogram

In a quadrilateral ABCD, if...

MATHS

In a quadrilateral ABCD, if AB || CD. ∠D =2×∠B ; AD = b and CD = a, then the side AB is of length

A

2

a

+2b

B

a+2b

C

2a−b

D

a+b

MEDIUM

Share

Study later

ANSWER

Given, AB∥CD, ∠D=2∠B, AD=b, CD=a

Now, AD=b ∴CM=b

and CD=a ∴AM=a

AB∥CD, thus, AMCD is a parallelogram.

∴∠D=∠AMC

∠AMC=2x

In △MCB

2x=∠MCB+∠x( ∵ Exterior angle is equal to sum of opposite interior angle)

=>∠MCB=x

=>∠MCB=∠B=x

∴MB=MC[As sides opposite to equal angles are equal]

Now, AB=AM+MB

=>AB=a+b