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1-4 Angle Measure

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

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1-4 Angle Measure

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  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 -measures 90° OBTUSE ANGLE -measures more than 90°

  6. Examples T 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 W ST and UT ST and TV <WTV <2

  7. Practice M 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 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 BISECTOR Obtuse 4x+15 = 6x-5 20 = 2x X=10 4x+15 4(10)+15 = 40 +15 <DCE = 55°

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