Exterior Angle Property Worksheet

Explore and apply the exterior angle property of triangles with this Grade 10 math worksheet, featuring multiple-choice, fill-in-the-blank, and short answer questions.

Grade 10 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

geometrytrianglesexterior anglegrade 10math

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. In a triangle, an exterior angle is equal to the sum of which two angles?

Adjacent interior angles

Vertically opposite angles

Interior opposite angles

All three interior angles

2. If the two interior opposite angles of a triangle are 60° and 75°, what is the measure of the exterior angle?

15°

135°

105°

180°

3. The sum of the interior angles of a triangle is always degrees.

4. An exterior angle and its adjacent interior angle form a pair.

5. In the triangle below, find the value of x.

Show your work:

6. A triangle has interior angles measuring 45°, 65°, and 70°. What are the measures of its three exterior angles?

7. The exterior angle property is only applicable to right-angled triangles.

True

False

8. The sum of an exterior angle and its adjacent interior angle is 180°.

True

False