Question

Lines L and M are parallel find m parallel to 5

Answer 1

142° = m parallel to 5

Explanation:

The angle 7 is equal to the angle 5 in measure, since L and M are parallel lines.

When calculating the value of angle 7 we will find m parallel to 5.

The bottom of the line M forms an angle of 180°, so

180° = Angle 7 + 38°, and isolating Angle 7, we have

Angle 7 = 180° - 38°

Angle 7 = 142°, then

Angle 7 = Angle 5 = 142° = m parallel to 5

Answer 2

You are given an angle of 38 degrees, which is a supplementary angle to angle 7.

Angle 7 = 180 - 38 = 142 degrees.

Angle 7 and angle 5 are Corresponding angles, which means they are equal.

Angle 5 = angle 7 = 142 degrees.