Calculate the number of sides of a regular polygon whose interior angle are each 156 degree

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Solution

The interior angles of a regular polygon are each 156°. Calculate the number of sides.

The interior angles are 156°, so the exterior angles are 180° - 156° = 24°.

All the exterior angles add up to 360°, so if we divide 360° by 24° we find there are 15 exterior angles.

Hence, there are 15 Sides.

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The number of sides of a regular polygon whose each interior angle is $135^{\circ}$

In a regular polygon each interior angle is 120 degree grater than each exterior angle. Calculate the number of side of the polygon.

^{\circ}

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