Gujarat BoardEnglish MediumSTD 8MATHSUnderstanding Quadrilaterals2 Marks
Question
Can $22^\circ$ be an interior angle of a regular polygon? Why?
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Answer
If $22^\circ$ is an interior angle, then $180^\circ-22^\circ$, i.e. $158^\circ$ is exterior angle.
Therefore Number of sides $=\frac{360^{\circ}}{158^{\circ}}=\frac{180^{\circ}}{79}$
Thus, $22^\circ$ cannot be an interior angle of a regular polygon.
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