The value of x that makes lines a and b parallel lines, according to the alternate exterior angles theorem, is: C. 22.
What is the Alternate Exterior Angles Theorem?
Based on the alternate exterior angles theorem, two exterior angles that are lie alternate to each other along a transversal line, the measure of both alternate exterior angles are congruent to each other. That is, they have equal measure.
Given the image below, according to the alternate exterior angles theorem, we have the following equation we would use to find the value of x that makes lines a and b parallel lines:
6x - 36 = 96
6x - 36 + 36 = 96 + 36
6x = 132
6x/6 = 132/6
x = 22
Therefore, the value of x that makes lines a and b parallel lines, according to the alternate exterior angles theorem, is: C. 22.
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