Question

In the adjoining figure, L cuts lines AB and CD at P and Q respectively,PR is the bisector of Angle APQ and QS is the bisector of Angle PQD such that Angle x=Angle y, Prove that PR||SQ and AB||CD.​

Answer 1

Step-by-step explanation:

Correct option is

B

90

∘

Sum of interior angles x & y is 180

o

on same side of line

x+y=180

o

…………(i)

In triangle PSR sum of angle is 180

o

2

x

+

2

y

+∠PSR=180

o

∠PSR=180−

2

1

(x+y)

From (i) x+y=180

∠PSR=90

o

.

hope it is helpful pls make me Brainlist

Answer 2

Mark me as brainlist here is your answer it is so easy but quite tricky