Question

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

Answer 1

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°.