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Geometry Arc and Angle Problem Solving Practice

Solve for arc and angle measures in different cases involving vertices at the center, on the circle, inside, and outside with clear examples and helpful tips. Practice problems included.

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Geometry Arc and Angle Problem Solving Practice

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  1. Warm Up 1. Solve for arc ABC 244 2. Solve for x and y. 3. Solve for angle 1. x = 105 y = 100 1 = 95

  2. Review HW

  3. Skills Check

  4. Case I:Vertex is AT the center A P C B

  5. Case II:Vertex is ON circle but not the center. ANGLE ARC ARC ANGLE

  6. Case III:Vertex is INSIDE circle A ARC B ANGLE D ARC C

  7. New!

  8. Case IV:Vertex is OUTSIDE circle C ANGLE small ARC A D LARGE ARC B

  9. Ex. 6 Find m1. 1 15° A D 65° B m1 = 25

  10. Ex. 7 Find mAB. mAB = 16 A 27° 70° B

  11. Ex. 8 Find m1. 260° 1 m1 = 80

  12. Tune: If You’re Happy and You Know It • If the vertex is ON the circle half the arc. <clap, clap> • If the vertex is INside the circle half the sum. <clap, clap> • But if the vertex is OUTside, then you’re in for a ride, cause it’s half of the difference anyway. <clap, clap>

  13. Example 1 from page 90 30 x

  14. Example 2 from page 90 x 25

  15. Example 3 from page x 50 20

  16. YOU try 150 67 x

  17. Worksheet Angles from Tangents & Secants 13 problems

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