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An angle is one - fifth of its supplement. The measure of the angle is?
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An angle is one - fifth of its supplement. The measure of the angle is...



Angle and its Supplement Relationship
An angle is one-fifth of its supplement. Let's denote the measure of the angle as x degrees.

Understanding the Relationship
- The supplement of the angle is 180 degrees - x degrees.
- According to the given information, the angle is one-fifth of its supplement, which can be written as x = (1/5)*(180 - x).

Solving the Equation
- Solving the equation, we get:
x = (1/5)*(180 - x)
5x = 180 - x
6x = 180
x = 30

Conclusion
Therefore, the measure of the angle is 30 degrees. This means the angle is one-fifth of its supplement, which is 150 degrees.

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An angle is one - fifth of its supplement. The measure of the angle is?
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