In the diagram, PQ||SR. Find the value of Z
Attached Figure / Diagram
A
30o
B
40o
C
45o
D
90o
E
120o
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
In the diagram above:
x = x\(_1\) alternate angles
y = y\(_1\) same reason
(x\(_1\) + y\(_1\)) + x + y = 180º
(x + y) + x + y = 2 x 90º
2(x + y) = 2 x 90º
⇒ x + y = 90º
but Z = (x\(_1\) + y\(_1\)) = 90º
Source: Myschool Past Questions Archive (Record #26349)