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An Angle is Equal to Its Supplement. Determine Its Measure. - Mathematics

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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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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 10 | Page 50
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