Question

(75 POINTS) Line m is parallel to line n. The measure of angle 6 is (3x)°. The measure of angle 2 is (5x− 48)°. What is the measure of angle 6?

A. 90°
B. 108°
C. 72°
D. 100°

Answer 1

72 degrees

Explanation:

Have a nice day.

Answer 2

C. 72°

Explanation:

Angles 2 and 6 are corresponding angles, so are congruent. Their measures are the same:

5x -48 = 3x

2x -48 = 0 . . . . . subtract 3x

3x -72 = 0 . . . . . multiply by 3/2

3x = 72 . . . . . . . .add 72

(3x)° is the measure of angle 6, so the measure of angle 6 is 72°.