Question

find the measure of an angle if seven times its complement is 10*less than three times its supplement

Answer 1

Hey

here is your answer,

Let the measure of the required angle be x°.

Then, the measure of its complement =(90−x)°.

And the measure of its supplement=(180−x)°.

Therefore,

7(90−x)=3(180−x)−10
⇒630−7x=540−3x−10
⇒4x=100
⇒x=25

Hence, the measure of the required angle is 25°.

Hope it helps you!

Answer 2

let the angle be =x 
therefore,               (3*(180-x))   -   (7*(90-x)) = 10.
                             or 540 - 3x - (630-7x) = 10
                             or 540 - 3x - 630 + 7x = 10
                             or 4x - 90 = 10
                             or 4x = 10 + 90
                             or 4x = 100
                             or x = 100/4
                              x = 25
Hence the angle is 25 degrees.