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Question
One angle is equal to three times its supplement. The measure of the angle is
Options
130°
135°
90°
120°
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Solution
Let the supplement of the angle be x°
Therefore, according to the given statement, the required angle measures 3x°
Since the angles are supplementary, therefore their sum must be equal to 180°
Or we can say that
`x + 3x = 180`
`4x = 180`
`x =180/ 4`
` x =45`
Thus, the supplement of 45°angle measures
3x = 3(45°)
= 135°
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