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

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Question

An angle is equal to its supplement. Determine its measure.

Answer in Brief
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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°.

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Introduction to Lines and Angles
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Chapter 10: Lines and Angles - Exercise 10.5 [Page 50]

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R.D. Sharma Mathematics [English] Class 9
Chapter 10 Lines and Angles
Exercise 10.5 | Q 10 | Page 50
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