Two angles are supplementary. The measure of one angle is 36° more than twice the measure of the other angle. Find the measure of each angle. (Enter your answers as a comma-separated list. Use the degree symbol, °, after each angle measure.)

Answer: 48° and 132°

Step-by-step explanation:

Given : Two angles are supplementary. The measure of one angle is 36° more than twice the measure of the other angle.

Let x° be one of the angles, then the next angle would be (2x+36) °.

When two angles are supplementary, then they are added up to 180 degrees.

⇒ x° + (2x+36) ° = 180°

⇒ x+2x+36=180

⇒ 3x=180-36 [Subtract 36 from both sides ]

⇒ 3x=144

⇒ x=48 [Divide both sides by 3]

⇒2x+36 = 2 (48) + 36

⇒2x+36=132

∴ The angles are 48° and 132°.