The measure of an angle is 7 times the measure of its supplementary angle. What is the measure of each angle

22.5° and 157.5°

Step-by-step explanation:

Supplementary angles total 180°.

Therefore, ∠1 plus ∠2 equals 180°.

If ∠1 = x, then ∠2 = 7x, since its measure is "7 times the measure of its supplementary angle."

Solving for x:

Therefore, ∠1 = 22.5° and ∠2 = 7(22.5°) = 157.5°.

To verify, we check that both angles total 180°:

22.5° + 157.5° = 180°

Check.

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