1111-5-5 Angle Relationships In Circles

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rclesCirclesWarm UpLesson PresentationLesson QuizHoltMcDougalGeometryGeometryHolt

11-5 Angle Relationships in CirclesWarm Up1. Identify each line or segment that intersects F.chords: AE, CDsecant: AEtangent: ABFind each measure.2. m NMP 110 3. m NLP 55 Holt McDougal Geometry

11-5 Angle Relationships in CirclesObjectivesFind the measures of angles formed by linesthat intersect circles.Use angle measures to solve problems.Holt McDougal Geometry

11-5 Angle Relationships in CirclesHolt McDougal Geometry

11-5 Angle Relationships in CirclesExample 1A: Using Tangent-Secant andTangent-Chord AnglesFind each measure.m EFH 65 Holt McDougal Geometry

11-5 Angle Relationships in CirclesCheck It Out! Example 1bFind each measure. 83 Holt McDougal Geometry

11-5 Angle Relationships in CirclesHolt McDougal Geometry

11-5 Angle Relationships in CirclesExample 2: Finding Angle Measures Insidea CircleFind each measure.m AEB 126 Holt McDougal Geometry

11-5 Angle Relationships in CirclesFind each angle measure.m RNMm ABDm RNM 180 – MNQm RNM 180 – 158 22 Holt McDougal Geometry

11-5 Angle Relationships in CirclesHolt McDougal Geometry

11-5 Angle Relationships in CirclesFind the value of x.50 83 – x 40 Holt McDougal Geometry 63 x 33

11-5 Angle Relationships in CirclesHolt McDougal Geometry

11-5 Angle Relationships in CirclesExample 5: Finding Arc MeasuresFindStep 1 FindUVStep 2 FindHolt McDougal Geometry

11-5 Angle Relationships in CirclesCheck It Out! Example 5Find mLPStep 1 FindStep 2 FindHolt McDougal Geometry

11-5 Angle Relationships in CirclesLesson Quiz: Part IFind each measure.1. m FGJ41.5 2. m HJK65 Holt McDougal Geometry

11-5 Angle Relationships in CirclesLesson Quiz: Part II3. An observer watchespeople riding a Ferriswheel that has 12equally spaced cars.Find x.30 Holt McDougal Geometry

11-5 Angle Relationships in CirclesLesson Quiz: Part III4. Find mCE.12 Holt McDougal Geometry

Holt McDougal Geometry 11-5 Angle Relationships in Circles Warm Up 1. Identify each line or segment that intersects F. Find each measure. 2. m NMP 3. m NLP chords: AE, CD secant: AE tangent: AB 110 55 Holt McDougal Geometry 11-5 Angle Relationships in Circles Find the measures of angles formed by lines

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Before measuring an angle, it is helpful to estimate the measure by using benchmarks, such as a right angle and a straight angle. For example, to estimate the measure of the blue angle below, compare it to a right angle and to a straight angle. 90 angle 180 angle A right angle has a measure of 90

An angle is said to be an obtuse angle if it is greater than 90 but is less than 120 . Straight Angle An angle whose measure is 180 is a straight angle. This angle got its name as it forms a straight line. AOB is a straight angle. Reflex Angle A reflex angle

Once the measure of an angle is known, the angle can be classified as one of three types of angles. These types are defined in relation to a right angle. Types of Angles A right angle m A 90 acute angle 0 m A 90 A obtuse angle 90 m A 180 A Angle Measure

Aug 18, 2015 · Measure and classify angles. Identify and use congruent angles and the bisector of an angle. Discover relationships between special pair of angles. Vocabulary Degree, ray, angle, sides, vertex, interior, exterior, right angle, acute angle, obtuse angle, angle bisector. Adjacent angles, linear pair angles, vertical ang

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