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Understanding Angles and Their Relationships in Circles

This resource covers various angle relationships in circles, including how to find the value of different variables using given angle measures. It explores multiple situations where angles are defined, providing examples and solutions to enhance understanding. Topics include solving for unknown angles and applying the relationships between central angles and inscribed angles. Perfect for students needing to comprehend the fundamental concepts of circle geometry.

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Understanding Angles and Their Relationships in Circles

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  1. Warm up (TI) • Find the value of each variable. a b 32° c

  2. 10-4 Other Angle Relationships in Circles

  3. Situation 1 m<1 = 1/2(mAB) B C m<2 = ½(mACB) 2 1 A

  4. Example m PSR = ? m PR = ? S 130° R P

  5. Situation 2 B A 1 1 D C

  6. Situation 3 A 1 C B

  7. Situation 4 B A 1 C

  8. Situation 5 A C B 1 2 D

  9. EXAMPLES 140° B C X D A 150°

  10. EXAMPLE: Solve for x. 92° X

  11. Solve for x. 204° x° 78°

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