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10-6 Secants, Tangents, and Angle Measures. You found measures of segments formed by tangents to a circle. . Find measures of angles formed by lines intersecting on or inside a circle. Find measures of angles formed by lines intersecting outside the circle. One line, One circle, Same plane….
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10-6 Secants, Tangents, and Angle Measures You found measures of segments formed by tangents to a circle. • Find measures of angles formed by lines intersecting on or inside a circle. • Find measures of angles formed by lines intersecting outside the circle.
One line, One circle, Same plane…. The line intersects the circle in two points. It is a secant line.
Use Intersecting Chords or Secants A. Find x. Theorem 10.12 Substitution Simplify. Answer:x = 82
Use Intersecting Chords or Secants B. Find x. Step 1Find mVZW. Theorem 10.12 Substitution Simplify. Step 2Find mWZX. mWZX= 180 – mVZWDefinition of supplementary angles x = 180 – 79Substitution x = 101 Simplify. Answer:x = 101
C. Find x. Theorem 10.12 Substitution Multiply each side by 2. Subtract 25 from each side. Answer:x = 95
A. Find x. A. 92 B. 95 C. 98 D. 104
C. Find x. A. 96 B. 99 C. 101 D. 104
A. Find mQPS. Theorem 10.13 Substitute and simplify. Answer:mQPS= 125
B. Answer: Use Intersecting Secants and Tangents Theorem 10.13 Substitution Multiply each side by 2.
A. Find mFGI. A. 98 B. 108 C. 112.5 D. 118.5
B. A. 99 B. 148.5 C. 162 D. 198
A. Use Tangents and Secants that Intersect Outside a Circle Theorem 10.14 Substitution Multiply each side by 2. Subtract 141 from each side. Multiply each side by –1.
B. Use Tangents and Secants that Intersect Outside a Circle Theorem 10.14 Substitution Multiply each side by 2. Add 140 to each side.
A. A. 23 B. 26 C. 29 D. 32
B. A. 194 B. 202 C. 210 D. 230
10-6 Assignment Page 746, 9-23 odd