Warm Up

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Warm Up 1. Identify each line or segment that
intersects ?F. Find each measure. 2.
m?NMP 3. m?NLP
110
55
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Objectives
Find the measures of angles formed by lines that
intersect circles. Use angle measures to solve
problems.
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4
Example 1A Using Tangent-Secant and
Tangent-Chord Angles
Find each measure.
m?EFH
65
5
Find each measure.
m?STU
83?
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Example 2 Finding Angle Measures Inside a Circle
Find each measure.
m?AEB
126?
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Check It Out! Example 2a
Find each angle measure.
m?ABD
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Check It Out! Example 2b
Find each angle measure.
m?RNM
m?RNM 180 ?MNQ
m?RNM 180 158 22
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Example 3 Finding Measures Using Tangents and
Secants
Find the value of x.
40?
63?
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Check It Out! Example 3
Find the value of x.
50 83 x
x 33
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Example 4 Design Application
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Check It Out! Example 4
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Example 5 Finding Arc Measures
Find all missing arc and angle measures in the
figure at right. Show your work.
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Homework

• Page 786
• Exercises 1-11, 52