1 / 16

Inscribed Angles

Master the concept of inscribed angles to find angle measures. This guide includes algebraic interpretations and examples for better understanding. Enhance your vocabulary and geometry skills with practical exercises.

awinter
Download Presentation

Inscribed Angles

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Inscribed Angles Concept 54

  2. inscribed angle – and angle with a vertex on the circle and its sides are chords of the circle. • Ex: • intercepted arc – has endpoints on the sides of an inscribed angle and lies in the interior of the inscribed angle. • Ex: A P C B Vocabulary

  3. Concept

  4. Use Inscribed Angles to Find Measures 1. Find mX. Answer:mX = 43 Example 1

  5. 2. Use Inscribed Angles to Find Measures = 2(52) or 104 Example 1

  6. 3. Find mC. A. 47 B. 54 C. 94 D. 188 Example 1

  7. 4. A. 47 B. 64 C. 94 D. 96 Example 1

  8. Concept

  9. RS R and S both intercept . Use Inscribed Angles to Find Measures 5. ALGEBRA Find mR. mRmS Definition of congruent angles 12x – 13 = 9x + 2 Substitution x = 5 Simplify. Answer:So, mR = 12(5) – 13 or 47. Example 2

  10. 6. ALGEBRA Find mI. A. 4 B. 25 C. 41 D. 49 Example 2

  11. Concept

  12. Find Angle Measures in Inscribed Triangles 7. ALGEBRA Find mB. ΔABC is a right triangle because C inscribes a semicircle. mA + mB + mC = 180Angle Sum Theorem (x + 4) + (8x – 4) + 90 = 180 Substitution 9x + 90 = 180 Simplify. 9x = 90 Subtract 90 from each side. x = 10 Divide each side by 9. Answer:So, mB = 8(10) – 4 or 76. Example 4

  13. 8. ALGEBRA Find mD. A. 8 B. 16 C. 22 D. 28 Example 4

  14. Concept

  15. Find Angle Measures 9. INSIGNIAS An insignia is an emblem that signifies rank, achievement, membership, and so on. The insignia shown is a quadrilateral inscribed in a circle. Find mS and mT. Since TSUV is inscribed in a circle, opposite angles are supplementary. mS + mV = 180 mS + 90= 180 mS = 90 mU + mT = 180 (14x) + (8x + 4) = 180 22x + 4 = 180 22x = 176 x = 8 Answer:So, mS = 90 and mT = 8(8) + 4 or 68. Example 5

  16. 10. An insignia is an emblem that signifies rank, achievement, membership, and so on. The insignia shown is a quadrilateral inscribed in a circle. Find mN. A. 48 B. 36 C. 32 D. 28 Example 5

More Related