Question

Given line x is parallel to line y and m/2 = 23⁰. What is m/7?

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Answer 1

∠ 7 = 157°

Explanation:

∠ 2 and ∠ 7 are same side exterior angles and sum to 180° , that is

∠ 2 + ∠ 7 = 180°

23° + ∠ 7 = 180° ( subtract 23° from both sides )

∠ 7 = 157°

Answer 2

<7 = 157

Explanation:

Angles 2 and 7 are same side exterior angles. Same-side exterior angles are supplementary when the lines are parallel.

<2 + <7 =180

23 + <7 = 180

<7 = 180-23

<7 = 157