Question

there is a pair of vertical angles whose measures are m∠1=106°
and m∠2=(3x−75)°
. What equation can you write to solve for x
?(1 point)
Responses

3x°−75°=106°

3 x degrees minus 75 degrees equals 106 degrees

3x°−75°+106°=180°

3 x degrees minus 75 degrees plus 106 degrees equals 180 degrees

3x°−75°−106°=180°

3 x degrees minus 75 degrees minus 106 degrees equals 180 degrees

3x°−75°+106°=90°

Answer 1

Vertical angles are congruent, so set them equal:

3x − 75 = 106

(If you solve: 3x = 181, so x = 181/3 ≈ 60.33.)