The measure of each interior angle of a regular polygon is 160- the number of sides of the polygon are

Measure of each interior angle =160^∘ Measure of each exterior angle =180^∘ 160^∘=20^∘ 20^∘× n=360^∘ n=360^∘20^∘=18 The number of sides of the polygon is ...

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Standard VIII

Mathematics

Measure of all Interior Angle of a Regular Polygon

The measure o...

Question

The measure of each interior angle of a regular polygon is $160^{\circ}$ , the number of sides of the polygon are

20

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18

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15

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Solution

The correct option is B $18$
Measure of each interior angle $= 160^{\circ}$

Measure of each exterior angle $= 180^{\circ} - 160^{\circ} = 20^{\circ}$

$20^{\circ} \times n = 360^{\circ}$

$n = \frac{360^{\circ}}{20^{\circ}} = 18$

The number of sides of the polygon is $18$ .

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The measure of each interior angle of a regular polygon is 160∘, the number of sides of the polygon are

The correct option is B 18 Measure of each interior angle =160∘ Measure of each exterior angle =180∘−160∘=20∘ 20∘×n=360∘ n=360∘20∘=18 The number of sides of the polygon is 18.

The measure of each interior angle of a regular polygon is $160^{\circ}$ , the number of sides of the polygon are

The correct option is B $18$
Measure of each interior angle $= 160^{\circ}$

Measure of each exterior angle $= 180^{\circ} - 160^{\circ} = 20^{\circ}$

$20^{\circ} \times n = 360^{\circ}$

$n = \frac{360^{\circ}}{20^{\circ}} = 18$

The number of sides of the polygon is $18$ .