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Measuring Angles.notebook
September 11, 2012
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Measuring Angles.notebook
September 11, 2012
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Measuring Angles.notebook
September 11, 2012
Section 1­3: Measuring Angles
An angle is formed by two rays, or sides, with a common endpoint, called the vertex.
S
S
W
1
R
1
2
T
R
T
Protractor Postulate: one to one correspondence with real numbers from 0 to 180.
The measure of an angle is given in degrees. 180 degrees in a straight line.
360 degrees in a circle.
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Measuring Angles.notebook
Acute
Right
September 11, 2012
Obtuse
Straight
Congruent Angles: Angles with the same measure.
<ABC ≅ <DEF
m<ABC = m<DEF
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Measuring Angles.notebook
September 11, 2012
Angle Addition Postulate: If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR
P
S
Q
R
Example: F is in the interior of <DEG. If m<DEG = 115 and m<DEF = 48, find m<FEG.
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Measuring Angles.notebook
September 11, 2012
An angle bisector is a ray that divides an angle into two congruent angles.
If JK bisects <LJM, then
Example: KM bisects <JKL.
m<JKM = 4x + 6
m<MKL = 7x ­ 12
find m<JKM
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