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belka [17]
3 years ago
6

The measure of an angle is forty-four times the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
mr_godi [17]3 years ago
3 0

Answer:

<h2>2° and 88°</h2>

Step-by-step explanation:

Suppose two angles ∠A and ∠B of measures x and y

A and B are complementary means x + y = 90

the measure of B is 44 times the measure of A means y = 44x

then we have to solve the system

x + y = 90

y = 44x

then

x + 44x = 90

then

45x = 90

then x = 90/45

          = 2

therefore

y = 44×(2)

  = 88

______________________

:)

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Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

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According to Law of Sines, we get

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