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?

Answer 1

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alternate exterior angles, when parallel lines are cut by a transversal, are congruent. Therefore, the angles are equal...so set them equal.

6x + 5 = 7x - 4...now we solve for x

6x - 7x = -4 - 5

-X=-9

X = 9

one angle (6x +5) = 6(9) + 5 = 54 + 5 = 59 degrees other angle (7x - 4) = 7(9) - 4 = 63 - 4 = 59 degrees

as u can see, they are both congruent and they each measure 59 degrees

Answer 2

Answer: Sample response: Since the lines are parallel, the 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.

Step-by-step explanation:

Just did it on endgenuity