Question

if AB || CD find X.(in the following figure)

Answer 1

Let the points on AB and CD be M and N.
And, where they intersect be O.


Now,

Draw a line PQ parallel to AB and CD through O.

Given,
angle AMO is 30
so,
angle POM is 180 - 30 = 150


Also,
angle CNO is 45
so,
angle PNO is 180 - 45 = 135


Hence x = angle PNO + angle POM
= 135 + 150
= 285