Question

find the measure of angle of 7times its complement is10 less than 3times its complement

Answer 1

Hi ,

If sum of any two angles equal to 90° then

they are called Complementary Angles.

let one angle = x

It's complement angle = 90 - x

according to the problem given ,

7x = 3 ( 90 - x ) - 10

7x = 270 - 3x - 10

7x + 3x = 270 - 10

10x = 260

x = 260 / 10

x = 26°

Therefore ,

one angle = x = 26°

it's Complementary angle = 90 - 26

= 64°

I hope this helps you.

:)