Question

HELP!!!!! The measure of the angle’s supplement is 20 degrees more than three times that of its complement. Find the measure of the angle described. The measure of the angle is?

Answer 1

Answer:

The measure of the angle is 55°

Step-by-step explanation:

Take an angle A and let its complement be x°

Its supplement is 20° + 3x°

Supplementary angles add up to 180° so;

Angle A = 180° - (20° + 3x°) = 160° - 3x°

Complementary angles add up to 90° so;

x° + 160° - 3x° = 90°

-2x° = -70° , x° = 35°

So the complement of the angle A is 35°

Angle A is 90° - 35° = 55°

And its supplement is 180° - 55° = 125°