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: Option D
Explanation
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