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:
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.
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