Polygon Interior Angle Sum Worksheet
Grade 11 math worksheet focusing on calculating the sum of interior angles of polygons and solving related problems.
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Polygon Interior Angle Sum
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Read each question carefully and show all your work. Use the formula (n-2) * 180° to find the sum of the interior angles of a polygon with 'n' sides.
1. The sum of the interior angles of a polygon with 'n' sides is given by the formula .
2. A polygon with 7 sides is called a .
3. The measure of each interior angle of a regular octagon is degrees.
4. What is the sum of the interior angles of a dodecagon?
1800°
1980°
2160°
1620°
5. If the sum of the interior angles of a polygon is 1080°, how many sides does the polygon have?
6 sides
7 sides
8 sides
9 sides
6. A convex polygon has interior angles that measure 130°, 140°, 150°, 160°, and 170°. What is the measure of the sixth interior angle?
7. The sum of the interior angles of a regular polygon is 1440°. Find the number of sides of the polygon and the measure of each interior angle.
8. The sum of the exterior angles of any convex polygon is always 360°.
True
False
9. A polygon with more sides always has a larger sum of interior angles.
True
False
10. The interior angles of a quadrilateral are x, 2x, 3x, and 4x. Find the measure of each angle.