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Exterior Angle Property Worksheet

Grade 9 math worksheet focusing on the exterior angle property of triangles, including multiple choice, fill-in-the-blanks, and short answer questions.

Grade 9 Math GeometryExterior Angle Property
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

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

Topics

mathgeometryexterior angletrianglesgrade 9
6 sections · Free to use · Printable
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Exterior Angle Property

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

1. What is the exterior angle property of a triangle?

a

The sum of interior angles is 180°.

b

An exterior angle is equal to the sum of the two opposite interior angles.

c

All angles in an equilateral triangle are 60°.

d

The sum of an interior angle and its adjacent exterior angle is 90°.

2. In a triangle, if two interior angles are 50° and 70°, what is the measure of the exterior angle adjacent to the third interior angle?

a

60°

b

120°

c

130°

d

180°

3. The sum of the three exterior angles of any triangle is always  .

4. An exterior angle of a triangle is formed by extending one of its  .

5. The exterior angle property is a direct consequence of the   sum property of a triangle.

6. Consider a triangle ABC. If ∠A = 65° and ∠B = 45°, find the measure of the exterior angle at vertex C. Show your work.

CABx

7. An exterior angle of a triangle is 110°. If one of the interior opposite angles is 60°, what is the measure of the other interior opposite angle? Show your work.

8. The exterior angle property applies only to right-angled triangles.

T

True

F

False

9. An exterior angle and its adjacent interior angle are supplementary.

T

True

F

False