If each interior angle of a regular polygon is 150°, then the polygon has ___ sides.

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Solution

We know, interior angle (i°) + exterior angle (e°) = 180°

150° + e° = 180°

e° = 30°

Number of sides (n) = $\frac{360 °}{e °}$

Number of sides (n) = $\frac{360 °}{30 °}$

Number of sides (n) = 12

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If each interior angle of a regular polygon is 150°, then the polygon has ___ sides.

We know, interior angle (i°) + exterior angle (e°) = 180° 150° + e° = 180° e° = 30° Number of sides (n) = 360°e° Number of sides (n) = 360°30° Number of sides (n) = 12

We know, interior angle (i°) + exterior angle (e°) = 180°

150° + e° = 180°

e° = 30°

Number of sides (n) = $\frac{360 °}{e °}$

Number of sides (n) = $\frac{360 °}{30 °}$

Number of sides (n) = 12