Question

Ans fast anyone......
plzzzz

Answer 1

hey mate!!

extend line ef to yr at point a
now ear forms a triangle
and ngle aef +angle fer =180
angle aef=180-150
angle aef=30
now by angle sum property in triangle ear angle r +angle a + angle e=180
angle a +36+30=180
angle a=180-66
angle a =114

now angle ear +angle eay=180 as it is a linear pair

so, 114+angle eay=180
angle eay=180-114
angle eay=66

angle xyr=angle eay
as alternaye angles are equal xy is parralel to af and hece to ef

i have attached the figure pls have a look

Answer 2

Answer:

|_ ERS should be 30 in place of 130 .It is misprint

|_ XYR= |_YRS. They are alternate interior angles, and are equal. So XY parallel to RS. Angle ERS + Angle REF =180.They are Co interior angles and sum is 180.

So,EF parallel to RS. We know XY parallel to RS and EF parallel to RS which means XY parallel to EF.

XY || EF proved

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