Question

if ab parallel cd. find x.

Answer 1

first of all we have to do construction

draw a straight line passing through the point o let it be MN

also where the 30 degree angle is made let it be the P pt.

gainehair 45 degree angle is made let it be the point Q



now a b parallel to M N and PX is a transversal

and by co interior angles the angle MXP is

180- 30 = 150°


now I am in parallel to CD and q x is transversal

so by co interior angles

the angle MXQ is

180-54= 135°

show the angle X is the sum of these two angles

that is given by

150 degree + 135 degree

which equals to

285 degrees

hope it helps you❤️❤️