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Angle Sums in Polygons and Transversals

This worksheet focuses on calculating angle sums in various polygons and identifying angle relationships formed by parallel lines and transversals.

Grade 11 Math GeometryAngle Sums
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2 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9CCSS.MATH.CONTENT.HSG.SRT.B.5
6 sections · Free to use · Printable
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Angle Sums Worksheet

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

1. What is the sum of the interior angles of a hexagon? Show your work.

2. An octagon has interior angles that sum to 1080 degrees. Is this statement true or false? Explain your reasoning.

3. In the diagram below, lines 'a' and 'b' are parallel, and line 't' is a transversal. If angle 1 measures 75 degrees, what is the measure of angle 5?

abt15
a

75 degrees

b

105 degrees

c

15 degrees

d

90 degrees

4. Which of the following angle pairs are alternate interior angles?

abt12435687
a

Angles 1 and 5

b

Angles 3 and 6

c

Angles 4 and 5

d

Angles 2 and 7

5. When two parallel lines are cut by a transversal, corresponding angles are  .

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

7. A regular polygon has an interior angle measure of 144 degrees. How many sides does the polygon have? Show all steps.