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Exterior Angle of a Triangle Worksheet

Explore the properties of exterior angles of triangles with this Grade 9 math worksheet, featuring various problem types.

Grade 9 Math GeometryExterior Angle of a Triangle
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Includes

TextShort AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.10

Topics

mathgeometryexterior angletrianglegrade 9
7 sections · Free to use · Printable
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Exterior Angle of a Triangle

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

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

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

60°70°x

2. An exterior angle of a triangle measures 120°. If one of the opposite interior angles is 50°, what is the measure of the other opposite interior angle?

3. Which of the following statements is true regarding the exterior angle of a triangle?

a

It is always acute.

b

It is equal to the sum of the adjacent interior angles.

c

It is equal to the sum of the two opposite interior angles.

d

It is always less than 90°.

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

5. An exterior angle and its adjacent interior angle are   angles, meaning they sum to 180°.

6. The exterior angle of an equilateral triangle is 120°.

T

True

F

False

7. The exterior angle theorem applies only to right-angled triangles.

T

True

F

False