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german
2 years ago
14

An angle measures 22.4° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Alchen [17]2 years ago
4 0

The first angle is 33.8° and second angle is 56.2°.

<h3>What is Complementary angle?</h3>

If the sum of the two angles is equal to the measurement of a right angle then the pair of angles is said to be complementary angles.

Complementary angles are the angles whose sum makes 90⁰.

Let's say our first angle is x:

x = first angle

According to the question,

The other angle is 22.4° more than the complementary angle.

Therefore, 22.4° will be added to the other angle.

first angle  = x

second angle = x + 22.4°

Since, complementary angle is equal to the sum of the two angles to be 90°.

∴ x + x + 22.4°  = 90°

    2x = 90 ° - 22.4°

    2x = 67.6°

     x = 67.6° / 2

     x = 33.8°

Thus, the first angle is 33.8° and second angle is 56.2°.

Learn more about Complementary angle from:

brainly.com/question/2882938

#SPJ1

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