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zloy xaker [14]
3 years ago
10

an angle measures 27.4 more than the measure of its complementary angle what is the measure of each angle

Mathematics
1 answer:
Arisa [49]3 years ago
3 0

Hello!

<h2>31.3° and 58.7°</h2><h2></h2>

To solve, we can set up an algebraic expression.

Complementary angles add up to 90°, and in this instance, one angle is 27.4° more than the other. Therefore:

∠1 = x

∠2 = x + 27.4°

∠1 + ∠2 = 90°

x + (x + 27.4°) = 90°

Combine like terms:

2x + 27.4° = 90°

Subtract 27.4 from both sides:

2x = 62.6°

Divide both sides by 2:

x = 31.3°

Therefore, one of the angles is 31.3°. Solve for the measure of the other angle:

(31.3°) + 27.4° = 58.7°

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