Question

Given m||n, find the value of x.

Answer 1

16

Explanation:

You have to know which theorem applies. This theorem only works because we know line m and line n are parallel.

Alternate Exterior Angles theorem says 111 degrees and 7x-1 are congruent.

This means we can set them equal to each other:

7x - 1 = 111

Solve for x:

7x = 112

112 / 7 = x

x = 16