Triangle Sum Theorem and Exterior Angle Theorem
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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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.
Tags
CCSS.8.G.A.5
2.
FLASHCARD QUESTION
Front
If one angle of a triangle is 41 degrees and another is 51 degrees, what is the measure of the third angle?
Back
The third angle is 180 - (41 + 51) = 88 degrees.
Tags
CCSS.8.G.A.5
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.
Tags
CCSS.8.G.A.5
4.
FLASHCARD QUESTION
Front
If an exterior angle measures 80 degrees, and one of the non-adjacent interior angles is 47 degrees, what is the measure of the other non-adjacent interior angle?
Back
The other angle is 80 - 47 = 33 degrees.
Tags
CCSS.8.G.A.5
5.
FLASHCARD QUESTION
Front
How do you find the value of x in a triangle if the angles are represented as x, 51, and 47 degrees?
Back
Set up the equation: x + 51 + 47 = 180. Solve for x: x = 180 - (51 + 47) = 82.
Tags
CCSS.8.G.A.5
6.
FLASHCARD QUESTION
Front
What is the relationship between the angles in a triangle?
Back
The angles in a triangle are related such that their sum is always 180 degrees.
Tags
CCSS.8.G.A.5
7.
FLASHCARD QUESTION
Front
If two angles of a triangle are 57 degrees and 47 degrees, what is the measure of the third angle?
Back
The third angle is 180 - (57 + 47) = 76 degrees.
Tags
CCSS.8.G.A.5
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