The measure of each interior angle of regular convex polygon is 156- - Find the number of sides of the polygon has-

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Standard VI

Mathematics

Polygon

The measure o...

Question

The measure of each interior angle of regular convex polygon is $156^{\circ}$ . Find the number of sides of the polygon has.

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Solution

The correct option is D
15

In a regular polygon, interior angle + exterior angle = 180°

exterior angle = 180° - 156°

exterior angle = 24°

Number of sides (n) = $\frac{360 °}{24 °}$

Number of sides (n) = 15

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The measure of each interior angle of regular convex polygon is 156∘. Find the number of sides of the polygon has.

The correct option is D 15 In a regular polygon, interior angle + exterior angle = 180° exterior angle = 180° - 156° exterior angle = 24° Number of sides (n) = 360°24° Number of sides (n) = 15

The measure of each interior angle of regular convex polygon is $156^{\circ}$ . Find the number of sides of the polygon has.

The correct option is D
15

In a regular polygon, interior angle + exterior angle = 180°

exterior angle = 180° - 156°

exterior angle = 24°

Number of sides (n) = $\frac{360 °}{24 °}$

Number of sides (n) = 15