Angle Addition Postulate

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Angle Addition Postulate?
Back
The Angle Addition Postulate states that if point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.
2.
FLASHCARD QUESTION
Front
If two angles form a linear pair, what is true about their measures?
Back
The measures of two angles that form a linear pair are supplementary, meaning they add up to 180 degrees.
3.
FLASHCARD QUESTION
Front
What are complementary angles?
Back
Complementary angles are two angles whose measures add up to 90 degrees.
4.
FLASHCARD QUESTION
Front
If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, what is the equation to find x if they form a linear pair?
Back
Set up the equation: (5x + 9) + (3x + 11) = 180.
5.
FLASHCARD QUESTION
Front
Solve for x: 5x + 9 + 3x + 11 = 180.
Back
x = 21.
6.
FLASHCARD QUESTION
Front
What is the measure of angle 1 if m∠1 = (5x + 9)° and x = 21?
Back
m∠1 = 114°.
7.
FLASHCARD QUESTION
Front
What is the measure of angle 2 if m∠2 = (3x + 11)° and x = 21?
Back
m∠2 = 74°.
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