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 angles
- One of them is 9 less than twice its supplement
We 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
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