# 1-4 Angle Measure.

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1-4 Angle Measure

Real-World

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

Angle RAY P INTERIOR RAY X 110° L VERTEX EXTERIOR

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

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

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

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

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°