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Answer in Brief
An angle is equal to its supplement. Determine its measure.
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Solution
Let the supplement of the angle be x°
According the given statement, the required angle is equal to its supplement, therefore, the required angle becomes x°.
Sine both the angles are supplementary, therefore, their sum must be equal to 180°
Or we can say that:
` x + x = 180°`
`2x = 180°`
`x = (180°)/2`
` x = 90°`
Hence, the required angle measures 90°.
Concept: Introduction to Lines and Angles
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