Triangle Sum Theorem and Exterior Angle Theorem
Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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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 90 degrees and another is 45 degrees, what is the measure of the third angle?
Back
The third angle measures 45 degrees, since 90 + 45 + 45 = 180.
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 opposite interior angles.
Tags
CCSS.8.G.A.5
4.
FLASHCARD QUESTION
Front
If one exterior angle of a triangle measures 100 degrees, and one of the opposite interior angles measures 40 degrees, what is the measure of the other opposite interior angle?
Back
The other opposite interior angle measures 60 degrees, since 100 = 40 + x, where x is the unknown angle.
Tags
CCSS.8.G.A.5
5.
FLASHCARD QUESTION
Front
How do you find the measure of the third angle in a triangle if two angles are known?
Back
Subtract the sum of the two known angles from 180 degrees.
Tags
CCSS.8.G.A.5
6.
FLASHCARD QUESTION
Front
What is the measure of the third angle in a triangle with angles measuring 30 degrees and 50 degrees?
Back
The third angle measures 100 degrees, since 180 - (30 + 50) = 100.
Tags
CCSS.8.G.A.5
7.
FLASHCARD QUESTION
Front
If two angles in a triangle are 45 degrees and 75 degrees, what is the measure of the third angle?
Back
The third angle measures 60 degrees, since 180 - (45 + 75) = 60.
Tags
CCSS.8.G.A.5
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