Question

An angle is five times the measures of its complement. find the measures of the angles

Answer 1

hey mate here is ur answer....


let d angle b x.
complement of Tht angle =90-x

according to ques.
x=(90-x)5
6x=450
∵ x=75°


Therefore,
angle=75°
complement of that angle=90-x=90-75=15°.


hope it helps......

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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