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Session 25 Warm-up

Name a segment tangent to circle A. What is the If BD = 36, find BC. If AC = 10 and BD = 24, find AB. If AD = 7 and BD = 24, find BE. Session 25 Warm-up. D. B. E. A. C. Case I: Vertex is ON the circle. ANGLE. ARC. ARC. ANGLE. Ex. 1 Find m 1. A. B. 1. 124 °. C.

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Session 25 Warm-up

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  1. Name a segment tangent to circle A. • What is the • If BD = 36, find BC. • If AC = 10 and BD = 24, find AB. • If AD = 7 and BD = 24, find BE. Session 25 Warm-up D B E A C

  2. Case I:Vertex is ON the circle ANGLE ARC ARC ANGLE

  3. Ex. 1 Find m1. A B 1 124° C m1= 62 °

  4. Ex. 2 Find m1. 1 84° m 1 = 42°

  5. 108° Ex. 3 Find m1. 1 m1= 126°

  6. Case II:Vertex is inside the circle A ARC B ANGLE D ARC C Looks like a PLUS sign!

  7. Ex. 4 Find m1. 93° A B 1 D C 113° m  1 = 103°

  8. Ex. 5 Find mQT. mQT = 100° N Q 84° 92° M T

  9. Case III:Vertex is outside the circle C ANGLE small ARC A D LARGE ARC B LARGE ARC LARGE ARC small ARC ANGLE small ARC ANGLE

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

  11. Ex. 7 Find mAB. mQT = 16° A 27° 70° B

  12. Ex. 8 Find m1. 260° 1 m  1 = 80°

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