Question

find the measure of angle 7. assume lines L and M are parallel. figure not drawn to scale.

Answer 1

Answer:

Explanation:

Since the lines L and M are paralle, angles 1 and 6 are equal:

Angle 1 = Angle 6 = 60°

We can also notice that angles 6 and 7 supplementary angles because they are in a straight line. In addition, supplementary angles are two angles whose measures add up to 180°. So,

Angle 6 + Angle 7 =180

We plug in what we know:

Angle 6 + Angle 7 =180

60+ Angle 7 =180

Simplify and rearrange

Angle 7=180-60

Angle 7= 120