1. 1-4 Angle Measure

2. Real-World

3. Vocabulary Ray- a part of a line
Opposite rays- a point on a line determines exactly 2 rays called opposite rays
Angle- formed by 2 noncollinear rays that have the same endpoint
Vertex- the common endpoint of the angle
Interior- all points that lie inside the angle
Exterior- all points that lie outside the angle
Degree- unit of angle measurement
Angle Bisector- a ray that divides an angle into 2 congruent angles

4. Angle
RAY P
INTERIOR
RAY X
110° L
VERTEX
EXTERIOR

5. Types of Angles ACUTE ANGLE -measures less than 90° RIGHT ANGLE
OBTUSE ANGLE
-measures more than 90°

6. Examples T W ST and UT ST and TV <WTV <2
Name the vertex of each angle: 1. <4 2. <1 Name the sides of each angle: 3. <4 4.<STV Write another name for each angle: 5. <3 6. <WVT T W
ST and UT
ST and TV
<WTV
<2

7. Practice M P NO and NM MO and OP <MPO <3
Name the vertex of each angle: 1. <5 2. <3 Name the sides of each angle: 3. <6 4.<MOP Write another name for each angle: 5. <1 6. <QPR M P
NO and NM
MO and OP
<MPO
<3

8. Examples Classify each angle as right, acute, or obtuse: 7. <NMP
8.<OMN
9. <QMN
10. If <EBD= 4x+16 & <DBC=6x+4, Find <EBD
Right
Acute
BISECTOR
Obtuse
4x+16 = 6x+4
4x+16
4(6) +16 = 24+16
<EBD = 40°
12 = 2x
6=x

9. Practice Classify each angle as right, acute, or obtuse: 7. <UZW
8.<YZW
9. <TZW
10. If <DCE= 4x+15 & <ECF=6x-5, Find <DCE
Right
acute
Obtuse
BISECTOR
4x+15 = 6x-5
20 = 2x
X=10
4x+15
4(10)+15 =
<DCE = 55°