Question

the measurement of an angle is five times its complement .the angle measurements​

Answer 1

Answer:

15 and 75

Step-by-step explanation:

let the angle be x so the other angle will be 5x.

therefore, x+5x=90

6x=90

x=15

Answer 2

The angle measures 75°

Given :

The measure of an angle is five times its complement

To find :

The angle measures

Solution :

Step 1 of 3 :

Assume the angle

Let the angle = x

Step 2 of 3 :

Form the equation

The measure of an angle is five times its complement

By the given condition

x = 5(90° - x)

Step 3 of 3 :

Find the angle

x = 5(90° - x)

⇒ x = 450° - 5x

⇒ 6x = 450°

⇒ x = 75°

So angle measures = 75°

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