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Exterior Angle of a Triangle

This worksheet focuses on understanding and calculating the exterior angles of triangles for 7th-grade students.

Grade 7 Math GeometryExterior Angle of a Triangle
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.7.G.A.2

Topics

mathgeometrytrianglesanglesgrade 7
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. Remember that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

1. What is the measure of the exterior angle 'x' in the triangle below?

70°60°x
a

50°

b

110°

c

130°

d

180°

2. If two interior angles of a triangle are 45° and 80°, what is the measure of the exterior angle adjacent to the third interior angle?

a

55°

b

125°

c

135°

d

180°

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

4. If an interior angle of a triangle is 70°, its adjacent exterior angle is  .

5. A triangle has interior angles measuring 30°, 70°, and 80°. Calculate the measure of each exterior angle of the triangle.

6. Draw a triangle and label its interior angles as A, B, and C. Then, extend one side to show an exterior angle and label it X. Explain the relationship between angle X and angles A, B, and C.

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

T

True

F

False

8. An exterior angle of a triangle can be acute.

T

True

F

False

9. In the figure below, find the value of 'y'.

(2y + 10)° (3y + 20)°