Line m is parallel to line n. The measure of angle 2 is 64°. What is the measure of angle 5?

Mathematics

1 answer:

zloy xaker [14]4 years ago

4 0

Angles 2 and 6 are corresponding angles.
When parallel lines are cut by a transversal, corresponding angles are congruent, so angles 2 and 6 are congruent.
m<2 = m<6 = 64 deg.

Angles 5 and 6 are a linear pair, so they are supplementary, and their measures add to 180 deg.

m<5 + m<6 = 180

m<5 + 64 = 180

m<5 = 180 - 64

m<5 = 116

Answer: m<5 = 116 deg.

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