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

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Presentation transcript:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

A.98 B.108 C D A. Find m  FGI.

A.98 B.108 C D A. Find m  FGI.

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

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

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

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

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

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

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

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

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

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

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

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

Apply Properties of Intersecting Secants Theorem Substitution

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

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

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

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