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1-4 Angle Measure

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Real-World

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**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

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Angle RAY P INTERIOR RAY X 110° L VERTEX EXTERIOR

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

OBTUSE ANGLE -measures more than 90°

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**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

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**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

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**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

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**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°

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Angles continued Interior Angles are those angles inside the parallel lines. Exterior Angles are those angles outside the parallel lines.

Angles continued Interior Angles are those angles inside the parallel lines. Exterior Angles are those angles outside the parallel lines.

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