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2 years ago

An angle measures 42.6° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

Setler79 [48]2 years ago

3 0

Answer:

Complementary angle 1st = 66.3°

Complementary angle 2nd = 23.7°

Step-by-step explanation:

Assume;

Complementary angle 1st = a

Complementary angle 2nd = a - 42.6°

Sum of complementary angles = 90°

So,

a + a - 42.6 = 90

a = 66.3

Complementary angle 1st = 66.3°

Complementary angle 2nd = 23.7°

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<img src="https://tex.z-dn.net/?f=0%20%3D%20%20%20-%204.9t%20%7B%7D%5E%7B2%7D%20%20%2B%2027t%20%2B%202.4" id="TexFormula1" title

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Move expression to the left.

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Remove zero.

$49t {}^{2} - 270t - 24 = 0$ Solve the quadratic equation.

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Separate the solutions

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The final solution are
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