Engineering Board Exam Reviewer · Polygons · medium

Each interior angle of a regular polygon measures 150°. How many sides does it have?

1. 10
2. 12
3. 15
4. 18

Answer

B. 12

Solution

The exterior angle is 30°, so n=360°/30°=12.

More Polygons questions

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2. Find the measure of each exterior angle of a regular octagon.
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4. Find the sum of the interior angles of a 12-sided polygon (dodecagon).
5. Find the measure of each interior angle of a regular nonagon (9 sides).
6. How many sides does a regular polygon have if each exterior angle measures 24°?
7. Find the number of diagonals in a regular polygon with 15 sides.
8. The sum of the interior angles of a polygon is 1980°. How many sides does it have?
9. Find the area of a regular hexagon with side length 8 cm.
10. A regular polygon has an interior angle of 165°. Find the number of sides.

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