Question

the measure of an angle is 8 times it's complement. Find the angles​

Answer 1

Angles are 10° , 80°

_____________________________

$\orange{\bigstar}$  Given  $\green{\bigstar}$

The measure of an angle is 8 times it's complement

$\orange{\bigstar}$  To Find  $\green{\bigstar}$

Complementary angles

$\orange{\bigstar}$  Solution  $\green{\bigstar}$

Let one angle be , " x "

So , other angle = 8x

We know that , " Sum of complementary angles is equal to 90° "

⇒ x + 8x = 90

⇒ 9x = 90

⇒ x = 10

So ,

One angle , x = 10° $\pink{\bigstar}$

Other angle , 8x = 80° $\pink{\bigstar}$

_____________________________

Answer 2

Angles are 10° , 80°

★ Given ★

The measure of an angle is 8 times it's complement

★To Find ★

Complementary angles

★Solution ★

Let one angle be , " x "

So , other angle = 8x

We know that , " Sum of complementary angles is equal to 90° "

⇒ x + 8x = 90

⇒ 9x = 90

⇒ x = 10

So ,

One angle , x = 10°

Other angle , 8x = 80°

_____________________________