Question

An angle is five times the measure of its complement. Find the measures of the angels an angle measure is five times the measure of its complement find the measures of the angles

Answer 1

Step-by-step explanation:

Let smaller angle be α and the larger be β.

Given:

α+β=90°, α=5β

∴5β+β=90°

6β=90°

β=90/6=15°

∴The smaller angle is 15° and the larger is 75°

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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