In the diagram, PQ//RS. Find x in terms of y and z

In the diagram, PQ//RS. Find x in terms of y and z

A.

x = 240\(^o\) - y - z

B.

x = 180\(^o\) - y - z

C.

x = 360\(^o\) + y -z

D.

x = 360\(^o\) - y - z

Correct answer is D

In the diagram,

a = z (alternate angles)

b = 180\(^o\) - a (angles on a straight line)

b = 180\(^o\) - z

c = 180\(^o\) - x (angles on a straight line)

y = b + c (sum of oposite interior angles)

y = 180\(^o\) - z + 180\(^o\) - x

y = 360\(^o\) - z - x

x = 360\(^o\) - y - z