Question

The measure of an angle if seven times its complement is 10 less than three times its supplement is

Answer 1

Let the angle be x
measure of its complement = (90-x)
measure of its supplement= (180-x)
7(90-x) =3(180-x)-10

630 - 7x=540x-3x -10

-7x+3x= 530-630
-4x=-100

x= 100/4
x=25

Answer 2

Answer:

Let the complement angles = ( 90-x )

Let the supplement angles = ( 180- x )

According to Question,

7 ( 90-x ) = 3 ( 180-x ) -10

7×90 - 7× x = 3×180 - 3× x - 10

630 -7x = 540 - 10 -3x

-7x + 3x = 530 - 630

-4x = -100

x = 100÷4

x =25