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Polygon Interior Angle Sum Worksheet

This worksheet focuses on understanding and calculating the sum of interior angles in polygons for Grade 10 students.

Grade 10 Math GeometryPolygon Interior Angle Sum
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSG.SRT.B.5

Topics

MathGeometryPolygonsInterior AnglesGrade 10
7 sections · Free to use · Printable
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Polygon Interior Angle Sum

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. The sum of the interior angles of a polygon with 'n' sides is given by the formula  .

2. A polygon with 5 sides is called a  .

3. The sum of the exterior angles of any convex polygon is always   degrees.

4. What is the sum of the interior angles of a hexagon?

a

360°

b

540°

c

720°

d

900°

5. If the sum of the interior angles of a polygon is 1080°, how many sides does the polygon have?

a

6 sides

b

7 sides

c

8 sides

d

9 sides

6. Calculate the sum of the interior angles of a regular decagon (10-sided polygon).

7. A polygon has an interior angle sum of 1440°. How many sides does it have? What is the name of this polygon?

8. The sum of the interior angles of a quadrilateral is 360°.

T

True

F

False

9. A triangle has an interior angle sum of 180°.

T

True

F

False

10. The interior angle of a regular polygon is 150°. How many sides does the polygon have? What is the sum of its interior angles?