Triangle Sum Theorem

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•
Mathematics
•
9th Grade
•
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 two angles of a triangle are 56° and 37°, how do you find the third angle?
Back
Subtract the sum of the two angles from 180°: 180° - (56° + 37°) = 87°.
3.
FLASHCARD QUESTION
Front
What is the measure of the third angle in a triangle if one angle is 45° and another is 60°?
Back
The third angle is found by: 180° - (45° + 60°) = 75°.
4.
FLASHCARD QUESTION
Front
How do you find a missing angle in a triangle?
Back
Use the Triangle Sum Theorem: subtract the sum of the known angles from 180°.
5.
FLASHCARD QUESTION
Front
What is the measure of the missing angle if the known angles are 90° and 40°?
Back
The missing angle is: 180° - (90° + 40°) = 50°.
6.
FLASHCARD QUESTION
Front
If one angle of a triangle is 120°, what is the maximum possible measure of the other two angles?
Back
The maximum possible measure for each of the other two angles is 30° each, since 120° + 30° + 30° = 180°.
7.
FLASHCARD QUESTION
Front
What is the relationship between the angles in a right triangle?
Back
In a right triangle, one angle is always 90°, and the sum of the other two angles is 90°.
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