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(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°

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 class=

Respuesta :

sqdancefan

Answer:

  C.  72°

Step-by-step 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°.

Answer:

72 degrees

Step-by-step explanation:

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