Question

The difference between the supplement of an angle and twice its complement is 28°, find the measure of the supplement of the angle.​

Answer 1

152°

Explanation:

Supplementary angles are two angles that sum to 180°

Complementary angles are two angles that sum to 90°

Let x° = the angle

⇒ Supplement of the angle = 180° - x°

⇒ Complement of the angle = 90° - x°

The difference between the supplement of an angle and twice its complement is 28°:

⇒ (180 - x)° - 2(90 - x)° = 28°

⇒ 180 °- x° - 180° + 2x° = 28°

⇒ x = 28°

Therefore, the measure of the supplement of 28° is:

180° - 28° = 152°