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.

So, we must find the two complementary angles such that

Angle A + Angle B = 90 degrees

Angle A + (4 Angle A + 5) = 90 degreesThen add like terms such that

5 Angle A + 5 = 90 degreesThen subtract 5 such that

5 Angle A = 85 degreesThen divide 5 such that

Angle A = 17 degrees

Then plug in 17 degrees into the equation such that

17 + Angle B = 90 degreesThen subtract 17 such that

Angle B = 73 degrees

Answer:

Angle A = 17°, Angle B = 73°

Step-by-step explanation:

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 = 17°

Angle A = x = 17°

Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°

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answer:

3 bags of apples and 2 bags of oranges.

step-by-step explanation: