Question

9. An angle is 9 less than twice its supplement. Find the measure of the supplement.​

Answer 1

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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