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Exterior Angle Theorem Worksheet

Practice problems for understanding and applying the Exterior Angle Theorem in triangles.

Grade 7 Math GeometryExterior Angle Theorem
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Includes

4 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.8.G.A.5

Topics

mathgeometryexterior angle theoremtrianglesgrade 7
8 sections · Free to use · Printable
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Exterior Angle Theorem

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

1. In your own words, explain the Exterior Angle Theorem.

2. The exterior angle of a triangle is equal to the sum of which two angles?

a

The two adjacent interior angles

b

The two opposite interior angles

c

One adjacent and one opposite interior angle

d

All three interior angles

3. In the triangle below, find the measure of the exterior angle x.

60°70°x

4. A triangle has interior angles measuring 45° and 85°. What is the measure of the exterior angle adjacent to the third interior angle?

5. The sum of the interior angles of any triangle is always   degrees.

6. An exterior angle and its adjacent interior angle form a   pair, meaning their sum is 180 degrees.

7. In a triangle, one exterior angle measures 130°. If one of the remote interior angles is 75°, what is the measure of the other remote interior angle?