Gujarat BoardEnglish MediumSTD 9MathsLines And Angles3 Marks
Question
An angle is equal to its supplement. Determine its measure.
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Answer
Let the supplement of the angle be $x^\circ$ .
According the given statement, the required angle is equal to its supplement, therefore, the required angle becomes $x^\circ$ .
Sine both the angles are supplementary, therefore, their sum must be equal to $180^\circ$ .
Or we can say that: $x + x = 180^\circ$ $2x = 180^\circ$ $\text{x}=\frac{180^\circ}{2}$$ x = 90^\circ$
Hence, the required angle measures $90^\circ$ .
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