Question

Find the value of x. Then find the measure of each labeled angle.
(x - 58)° =
(x-58)

Answer 1

• x° = 119°
• (x-58)° = 61°

Explanation:

You want the measures of supplementary angles x° and (x-58)°.

Supplementary angles

Consecutive interior angles where a transversal crosses parallel lines are supplementary.

x° +(x -58)° = 180°

2x = 238

x = 119

x -58 = 61

The two angles are ...

• x° = 119°
• (x-58)° = 61°

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