The measure of the angle is 36°
The measure of the angle is 72°
Step-by-step explanation:
Let us revise some facts:
1. Two angles are supplementary if the sum of their measures is 180°
2. Two angles are complementary if the sum of their measures is 90°
- Assume that the measure of the angle is x°
∵ The measure of the angle is x°
∵ The sum of the measures of the complement angles = 90°
∴ The measure of the complement angle = 90 - x°
∵ The complement of an angle is 1.5 times as large as the angle
∴ 90 - x = 1.5 x
- Add x to both sides
∴ 90 = x + 1.5 x
∴ 90 = 2.5 x
- Divide both sides by 2.5
∴ x = 36°
The measure of the angle is 36°
- Assume that the measure of the angle is x°
∵ The sum of the measures of the supplement angles = 180°
∴ The measure of the supplement angle = 180 - x
∵ Three times the measure of the angle is equal to twice the measure
of the angle's supplement
∴ 3 x = 2 (180 - x)
- Multiply the bracket by 2
∴ 3 x = 360 - 2x
- Add 2 x to both sides
∴ 5 x = 360
- Divide both sides by 5
∴ x = 72°
The measure of the angle is 72°
Learn more:
You can learn more about complement and supplement angles in brainly.com/question/5312408
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