Question

ABCD is a parallelogram in which angle A and angle C are obtuse.
Points X and Y are taken on diagonal BD such that angle AXD
= angle CYB = 90°. Prove that : XA = YC.​

Answer 1

Step-by-step explanation:

In triangle ADX and triangle CYB

AD=BC

<AXD=<CYB

BY=DX

Therefore the two triangles are congruent

by cpct

XA=YC

Answer 2

Step-by-step explanation:

given:abcd is a llgm

A and C are obtuse angle

angle cyb=90°

AngleDXA=AngleCYB (90°)

DC=AB(IIgm)

AD=BC (llgm)

By SSA rule

triangle ABD=~ triangle BCD

SO XA=YC