Exterior Angle Theorem and Triangle Sum Theorem
Flashcard
•
Mathematics
•
7th - 8th Grade
•
Hard
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15 questions
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1.
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.
2.
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.
3.
FLASHCARD QUESTION
Front
If one angle of a triangle is 70°, what is the maximum possible measure of the other two angles?
Back
The maximum possible measure of the other two angles is 110° (since 180° - 70° = 110°).
4.
FLASHCARD QUESTION
Front
If two angles of a triangle are 45° and 55°, what is the measure of the third angle?
Back
The third angle measures 80° (since 180° - 45° - 55° = 80°).
5.
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.
6.
FLASHCARD QUESTION
Front
Back
x = 5.
7.
FLASHCARD QUESTION
Front
What is the measure of an exterior angle if the two opposite interior angles are 30° and 50°?
Back
The measure of the exterior angle is 80° (30° + 50° = 80°).
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