Exterior Angle Theorem Worksheet
Practice identifying and calculating exterior angles of triangles using the Exterior Angle Theorem.
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Exterior Angle Theorem
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Read each question carefully and answer to the best of your ability. Show your work where necessary.
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
1. Which of the following statements correctly defines the Exterior Angle Theorem?
The sum of all angles in a triangle is 180 degrees.
An exterior angle is equal to the sum of its adjacent interior angle and a remote interior angle.
An exterior angle is equal to the sum of its two remote interior angles.
The sum of an exterior angle and its adjacent interior angle is 90 degrees.
2. In the triangle below, identify the exterior angle and the two remote interior angles relative to it.
Exterior Angle:
Remote Interior Angle 1:
Remote Interior Angle 2:
3. For the triangle shown, calculate the measure of the exterior angle 'x'.
x =
4. If an exterior angle of a triangle is 110 degrees and one of its remote interior angles is 50 degrees, what is the measure of the other remote interior angle?
5. The exterior angle of a triangle is always greater than either of its remote interior angles.
True
False