An angle measures 8.8° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

Fittoniya [83]2 years ago

6 0

Based on the definition of complementary angles, the two angles are: 49.4° and 40.6°.

<h3>What are Complementary Angles?</h3>

Angles that are complementary angles have a sum of 90 degrees.

Let the angle be represented as x

Complement of the angle = (90 - x)

Therefore, we would have:

x = (90 - x) + 8.8

x = 90 - x + 8.8

x = 98.8 - x

x + x = 98.8

2x = 98.8

x = 98.8/2

x = 49.4°

The second angle would be: 90 - 49.4 = 40.6°

The angles are 49.4° and 40.6°.

Learn more about complementary angles on:

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