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Transcript 
11-5
11-5Angle
AngleRelationships
RelationshipsininCircles
Circles
Warm Up
Lesson Presentation
Lesson Quiz
HoltMcDougal
GeometryGeometry
Holt
11-5 Angle Relationships in Circles
Warm Up
1. Identify each line or segment that intersects
F.
chords: AE, CD
secant: AE
tangent: AB
Find each measure.
2. mNMP 110°
3. mNLP 55°
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Objectives
Find the measures of angles formed by lines
that intersect circles.
Use angle measures to solve problems.
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Example 1A: Using Tangent-Secant and
Tangent-Chord Angles
Find each measure.
mEFH
= 65°
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Check It Out! Example 1b
Find each measure.
= 83
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Example 2: Finding Angle Measures Inside
a Circle
Find each measure.
mAEB
= 126
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Find each angle measure.
mRNM
mABD
mRNM = 180° – MNQ
mRNM = 180° – 158° = 22°
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Find the value of x.
50° = 83° – x
= 40
Holt McDougal Geometry
= 63
x = 33°
11-5 Angle Relationships in Circles
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Example 5: Finding Arc Measures
Find
Step 1 Find
U
V
Step 2 Find
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Check It Out! Example 5
Find mLP
Step 1 Find
Step 2 Find
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Lesson Quiz: Part I
Find each measure.
1. mFGJ
41.5°
2. mHJK
65°
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Lesson Quiz: Part II
3. An observer watches
people riding a Ferris
wheel that has 12
equally spaced cars.
Find x.
30°
Holt McDougal Geometry
11-5 Angle Relationships in Circles
Lesson Quiz: Part III
4. Find mCE.
12°
Holt McDougal Geometry
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