Triangles Sum Theorem & Exterior Angle Theorem
Flashcard
•
Mathematics
•
8th 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 degrees.
2.
FLASHCARD QUESTION
Front
If one angle of a triangle is 70° and another is 50°, what is the measure of the third angle?
Back
The third angle is 60° (70° + 50° + 60° = 180°).
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 opposite interior angles.
4.
FLASHCARD QUESTION
Front
If one angle of a triangle is 40° and another is 60°, what is the measure of the exterior angle adjacent to the 60° angle?
Back
The exterior angle is 100° (40° + 60° = 100°).
5.
FLASHCARD QUESTION
Front
Can a triangle have angles measuring 90°, 90°, and 90°?
Back
No, a triangle cannot have angles measuring 90°, 90°, and 90° because the sum would exceed 180°.
6.
FLASHCARD QUESTION
Front
What is the measure of the missing angle in a triangle if the other two angles are 30° and 50°?
Back
The missing angle is 100° (30° + 50° + 100° = 180°).
7.
FLASHCARD QUESTION
Front
Which set of angles can form a triangle: 30°, 60°, 90° or 100°, 100°, 100°?
Back
The set 30°, 60°, 90° can form a triangle, as their sum is 180°. The other set exceeds 180°.
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