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Triangle Sum Theorem and Exterior Angle Theorem
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
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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