Question

LM is parallel to PQ,find x

Answer 1

Answer:

angle PAQ = 2x (corresponding angles)

Then everything is linear pair

so,

3x + 2x = 180°   (Linear Pair)

5x = 180°

x = 180°/5

x = 36°

HOPE IT HELPS!!!

PLEASE VOTE IF FOUND HELPFUL!!!

Answer 2

Step by step analysis:

Draw a line from A parallel to LM

Which is also parallel to PQ

so, Angle RAL=2x and angle RAP=3x (since corresponding angles)

Therefore,

angle PAL= angle RAL + angle RAP

100°=2x + 3x=5x

=>5x = 100°

=>x = 20°