If a regular polygon has 12 sides, then the measure of its each interior angle is ___.

160°

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150°

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120°

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100

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Solution

The correct option is B
150°

Each exteior angle (e°) = $\frac{360 °}{n}$ , where n is the number of sides.

Each exteior angle (e°) = $\frac{360 °}{12}$

Each exteior angle (e°) = 30°

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

i° + 30° = 180°

i° = 150°

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If a regular polygon has 12 sides, then the measure of its each interior angle is ___.

The correct option is B 150° Each exteior angle (e°) = 360°n, where n is the number of sides. Each exteior angle (e°) = 360°12 Each exteior angle (e°) = 30° We know, interior angle (i°) + exterior angle (e°) = 180° i° + 30° = 180° i° = 150°

The correct option is B
150°

Each exteior angle (e°) = $\frac{360 °}{n}$ , where n is the number of sides.

Each exteior angle (e°) = $\frac{360 °}{12}$

Each exteior angle (e°) = 30°

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

i° + 30° = 180°

i° = 150°