3. Use Intersecting Chords or Secants A. Find x. Answer: Theorem 10.12 Substitution Simplify.

4. Use Intersecting Chords or Secants A. Find x. Answer: x = 82 Theorem 10.12 Substitution Simplify.

5. Use Intersecting Chords or Secants B. Find x. Theorem 10.12 Substitution Simplify. Step 1Find m  VZW.

6. Use Intersecting Chords or Secants Step 2Find m  WZX. m  WZX =180 – m  VZWDefinition of supplementary angles x =180 – 79Substitution x =101Simplify. Answer:

7. Use Intersecting Chords or Secants Step 2Find m  WZX. m  WZX =180 – m  VZWDefinition of supplementary angles x =180 – 79Substitution x =101Simplify. Answer: x = 101

8. C. Find x. Theorem 10.12 Substitution Multiply each side by 2. Use Intersecting Chords or Secants Subtract 25 from each side. Answer:

9. C. Find x. Theorem 10.12 Substitution Multiply each side by 2. Use Intersecting Chords or Secants Subtract 25 from each side. Answer: x = 95

10. A.92 B.95 C.98 D.104 A. Find x.

11. A.92 B.95 C.98 D.104 A. Find x.

12. A.92 B.95 C.97 D.102 B. Find x.

13. A.92 B.95 C.97 D.102 B. Find x.

14. A.96 B.99 C.101 D.104 C. Find x.

15. A.96 B.99 C.101 D.104 C. Find x.

17. Use Intersecting Secants and Tangents A. Find m  QPS. Theorem 10.13 Substitute and simplify. Answer:

18. Use Intersecting Secants and Tangents A. Find m  QPS. Theorem 10.13 Substitute and simplify. Answer: m  QPS = 125

19. B. Theorem 10.13 Use Intersecting Secants and Tangents Substitution Multiply each side by 2. Answer:

20. B. Theorem 10.13 Use Intersecting Secants and Tangents Substitution Multiply each side by 2. Answer:

21. A.98 B.108 C.112.5 D.118.5 A. Find m  FGI.

22. A.98 B.108 C.112.5 D.118.5 A. Find m  FGI.

23. A.99 B.148.5 C.162 D.198 B.

24. A.99 B.148.5 C.162 D.198 B.

26. Use Tangents and Secants that Intersect Outside a Circle A. Theorem 10.14 Substitution Multiply each side by 2.

27. Use Tangents and Secants that Intersect Outside a Circle Subtract 141 from each side. Multiply each side by –1.

28. Use Tangents and Secants that Intersect Outside a Circle Subtract 141 from each side. Multiply each side by –1.

29. Use Tangents and Secants that Intersect Outside a Circle B. Theorem 10.14 Substitution Multiply each side by 2.

30. Use Tangents and Secants that Intersect Outside a Circle Add 140 to each side.

31. Use Tangents and Secants that Intersect Outside a Circle Add 140 to each side.

32. A.23 B.26 C.29 D.32 A.

33. A.23 B.26 C.29 D.32 A.

34. A.194 B.202 C.210 D.230 B.

35. A.194 B.202 C.210 D.230 B.

36. Apply Properties of Intersecting Secants Theorem 10.14 Substitution

37. Apply Properties of Intersecting Secants Multiply each side by 2. Subtract 96 from each side. Multiply each side by –1.

38. Apply Properties of Intersecting Secants Multiply each side by 2. Subtract 96 from each side. Multiply each side by –1.

39. A.25 B.35 C.40 D.45

40. A.25 B.35 C.40 D.45