Question

In the figure below,
m
1
∥
m
2
and
m
3
∥
m
4
.

The line m1 has 42 degrees at its bottom to the left of m4 and the line m2 has x degrees at its bottom to the right of m4.

What is the value of x?

A.
42

B.
48

C.
138

D.
158

Answer 1

C. 138

Reason: Because m1 ∥ m2 and m3 ∥ m4, the 42° angle and the x° angle are supplementary (they form a linear pair across the parallel transversals). So x = 180° − 42° = 138°.