Question

Two Parallel lines are cut by a transcersal and form a pair of alternate exterior angles. One angle measures (6x + 5) and the other measures (7x+4). Explain how to determine what those angles actually measure?

Answer 1

11° is the measure of the exterior angles

Explanation:

Theorem: Alternate exterior angles are congruent when two parallel lines cut by a transversal.

First we solve for x using the theorem

6x + 5 = 7x + 4

x = 1

Substitute x = 1 into 6x + 5

6(1) + 5 = 6 + 5 = 11°