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One angle is equal to three times of its supplement. The measure of the angle is

Question

One angle is equal to three times of its supplement. The measure of the angle is

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Solution

Let's denote the angle as x.

The supplement of an angle is what, when added to the angle, equals 180 degrees. So, the supplement of the angle x is 180 - x.

According to the problem, the angle is three times its supplement. We can write this as an equation:

x = 3 * (180 - x)

Solving this equation will give us the measure of the angle.

First, distribute the 3 on the right side of the equation:

x = 540 - 3x

Then, add 3x to both sides to get all the x terms on one side:

4x = 540

Finally, divide both sides by 4 to solve for x:

x = 540 / 4

x = 135

So, the measure of the angle is 135 degrees.

This problem has been solved

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