Answered

The measure of an angle is 11 times the measure of its complementary angle. What is the measure of each angle?

Answer :

Answer:

Angle: 82.5°

Complement of the angle: 7.5°

Step-by-step explanation:

Set the complement of the angle as ∠x. The angle itself is 11 * m∠x.

Thus:

m∠x + 11 * m∠x = 90

12 * m∠x = 90

m∠x = 7.5°

So, the complement must be 7.5° and the angle itself must be 82.5°.

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