Question

Two parallel lines are cut by a transversal 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?

Examine the lines that are cut by transversals to determine the measure of angle 1.

What is the measure of angle 1?

m <1=
°


Why?

Answer 1

Answer/Step-by-step explanation:

Since the lines are parallel, then alternate exterior angles are congruent. Therefore you can set the expressions equal to each other and solve for x. Then you can substitute the value of x back into either expression to find the angle measure.

Answer 2

Both angles measure 59°