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Transcript 
Chapter 1
Section 1.4
Angles and Their Measures
Angle: Composed of two rays that have the same initial point
B
Exterior
Vertex
•
Sides
Interior
A
•
C
The angle has sides AB and AC
The vertex is A
The angle can be named
by
BAC, CAB, or A
Name the 3 angles in the picture
1. PQS
Top angle
2. SQR
Bottom angle
3. PQR
Whole angle
Congruence

• Two angles are congruent if they have the same
measure
 If ABC  PQR then mABC = mPQR
• Two segments are congruent if they have the
same measure
 If AB  YZ then AB  YZ
•Congruence: Having the same size and shape
Protractor Postulate
• A protractor is used to measure angles
• Angles are measured using Degrees
Angle addition postulate
R
RST
•
RSP
•P
S
•
T
• If P is in the interior of RST then
 mRSP + mPST = m RST
PST
4 angle types
A
A
Acute Angle
Right Angle
0° < mA < 90 °
mA = 90 °
•
A
A
Obtuse Angle
90° < mA < 180 °
Straight Angle
mA = 180 °
m TMF = m TMW + m WMF
m XLV = m XLC + m CLV
m TMF = 27 + 63
m  XLV = 39 + 103
m TMF = 90
m  XLV = 142
HW #5
Pg 28: 1-39,
51-58, 64-73
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