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Angle Sums Worksheet

This worksheet focuses on understanding and applying angle sum properties in various geometric figures for Grade 10 students.

Grade 10 Math GeometryAngle Sums
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Includes

Fill in the Blanks2 Short AnswerTrue / FalseMultiple Choice

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

geometryanglesangle sumspolygonsgrade 10
7 sections · Free to use · Printable
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Angle Sums Worksheet

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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 triangle is   degrees.

2. In a quadrilateral, the sum of the interior angles is   degrees.

3. The formula for the sum of the interior angles of an n-sided polygon is  .

4. Find the measure of the missing angle in the triangle below:

60°70°x

Show your work:

5. An isosceles triangle has one angle measuring 100 degrees. What are the measures of the other two angles?

6. The sum of the exterior angles of any convex polygon is always 360 degrees.

T

True

F

False

7. A regular hexagon has interior angles that each measure 120 degrees.

T

True

F

False

8. Calculate the sum of the interior angles of a nonagon (9-sided polygon).

9. If a regular polygon has an interior angle of 140 degrees, how many sides does it have?

10. What is the measure of each exterior angle of a regular octagon?

a

30 degrees

b

45 degrees

c

60 degrees

d

135 degrees