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postnew [5]
3 years ago
9

Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each

angle.
Mathematics
1 answer:
kupik [55]3 years ago
7 0

<u>Answer</u>:

Angle A = 17°, Angle B = 73°

<u>Step-by-step explanation:</u>

Angle A & Angle B are complementary angles (given) so they will form 90°.

Let's take,

Angle A = x

Angle B = 4x +5 (angle B is five degrees more than four times angle A)

Measure of each angle=?

Angle A + Angle B = 90°

x + 4x + 5 = 90

5x + 5 = 90

5x = 90 - 5

5x = 85

x = 85 ÷ 5

x = <u>1</u><u>7</u><u>°</u>

Angle A = x = <u>1</u><u>7</u><u>°</u>

Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = <u>7</u><u>3</u><u>°</u>

•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•

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