Triangle Sum Theorem and Exterior Angle Theorem
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Triangle Sum Theorem?
Back
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.
2.
FLASHCARD QUESTION
Front
If two angles in a triangle are 45° and 75°, what is the measure of the third angle?
Back
60° (Using the Triangle Sum Theorem: 180° - (45° + 75°) = 60°).
3.
FLASHCARD QUESTION
Front
What is the Exterior Angle Theorem?
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.
4.
FLASHCARD QUESTION
Front
If one angle of a triangle is 51° and another is 47°, what is the value of x if x is the third angle?
Back
x = 180° - (51° + 47°) = 82°.
5.
FLASHCARD QUESTION
Front
What equation would solve for x if the angles in a triangle are x, 51°, and 47°?
Back
x + 51 + 47 = 180.
6.
FLASHCARD QUESTION
Front
What is the value of k if the angles in a triangle are k, 22°, and 38°?
Back
k = 180° - (22° + 38°) = 120°.
7.
FLASHCARD QUESTION
Front
How do you find the measure of an exterior angle?
Back
To find the measure of an exterior angle, add the measures of the two non-adjacent interior angles.
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