Exterior Angles of Triangles
Explore the properties of exterior angles of triangles with this worksheet, featuring various problems and diagrams.
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Exterior Angles of Triangles
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is an exterior angle of a triangle?
2. State the Exterior Angle Theorem.
3. In the triangle below, find the measure of the exterior angle x.
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4. If the two remote interior angles of a triangle are 45° and 85°, what is the measure of the exterior angle?
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5. Which of the following statements is true regarding an exterior angle of a triangle?
It is always acute.
It is equal to the sum of the adjacent interior angle and one remote interior angle.
It is equal to the sum of its two remote interior angles.
It is always less than 90°.
6. The sum of the measures of the three exterior angles of any triangle is .
7. An exterior angle and its adjacent interior angle are angles.
8. In a triangle, one exterior angle measures 110°. If one of its remote interior angles is 50°, find the measure of the other remote interior angle.
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