
Triangle Sum and Exterior Angle Theorems
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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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°.
2.
FLASHCARD QUESTION
Front
If one angle of a triangle is 70° and another is 60°, what is the measure of the third angle?
Back
The third angle is 50° (180° - 70° - 60° = 50°).
3.
FLASHCARD QUESTION
Front
What is an exterior angle of a triangle?
Back
An exterior angle is formed by one side of a triangle and the extension of an adjacent side.
4.
FLASHCARD QUESTION
Front
State the Exterior Angle Theorem.
Back
The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles.
5.
FLASHCARD QUESTION
Front
If an exterior angle measures 130°, what are the measures of the two remote interior angles if one is 50°?
Back
The other remote interior angle measures 80° (130° - 50° = 80°).
6.
FLASHCARD QUESTION
Front
What are remote interior angles?
Back
Remote interior angles are the two angles inside the triangle that are not adjacent to a given exterior angle.
7.
FLASHCARD QUESTION
Front
If Angle W is 40°, what are the measures of the remote interior angles?
Back
If Angle W is 40°, the sum of the remote interior angles must be 140° (180° - 40° = 140°).
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