What is the Exterior Angle Theorem?
Exterior Angle Theorem

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•
Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
2.
FLASHCARD QUESTION
Front
If one exterior angle of a triangle measures 120 degrees, what is the sum of the two opposite interior angles?
Back
The sum of the two opposite interior angles is 120 degrees.
3.
FLASHCARD QUESTION
Front
What is the relationship between an exterior angle and its adjacent interior angle?
Back
The exterior angle is equal to the sum of the two opposite interior angles, and it is supplementary to the adjacent interior angle.
4.
FLASHCARD QUESTION
Front
Calculate the value of x if the exterior angle is 40 degrees and one of the opposite interior angles is 25 degrees.
Back
x = 40 - 25 = 15 degrees.
5.
FLASHCARD QUESTION
Front
What is the measure of angle x if the exterior angle is 180 degrees?
Back
Angle x can be any value as the sum of the opposite interior angles must equal 180 degrees.
6.
FLASHCARD QUESTION
Front
If angle A = 50 degrees and angle B = 70 degrees, what is the measure of the exterior angle formed at vertex C?
Back
The exterior angle at vertex C is 50 + 70 = 120 degrees.
7.
FLASHCARD QUESTION
Front
What is the measure of angle 3x + 2 if it equals an exterior angle of 122 degrees?
Back
3x + 2 = 122; therefore, 3x = 120; x = 40 degrees.
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