In the diagram, PQ//RS. Find x in terms of y and z
Attached Figure / Diagram
A
x = 240\(^o\) - y - z
B
x = 180\(^o\) - y - z
C
x = 360\(^o\) + y -z
D
x = 360\(^o\) - y - z
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #49564)