MATH SOLVE

5 months ago

Q:
# 9. An angle is 9 less than twice its supplement. Find the measure of the supplement.

Accepted Solution

A:

The measure of the supplement angle is 63°Step-by-step explanation:If two angles are supplementary then the sum of their measures is 180°The given is:Two supplementary anglesOne of them is 9 less than twice its supplementWe need to find the measure of the supplement∵ The two angles are supplementary∴ The sum of their measure is 180°Assume that the measure of the supplement angle is x°∵ An angle is 9 less than twice its supplement- twice means times 2 and 9 less means subtract 9∵ The measure of the supplement is x°∴ The measure of the angle = (2x - 9)°∵ The sume of the measures of the two angles = 180°∴ (2x - 9)° + x° = 180°- Add like terms∴ (2x + x) - 9 = 180∴ 3x - 9 = 180- Add 9 to both sides∴ 3x = 189- Divide both sides by 3∴ x = 63°The measure of the supplement angle is 63°Learn more:You can learn more about supplementary angles in brainly.com/question/11175936#LearnwithBrainly