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Angle Measurement and Classification

This text explains how to measure and classify angles, including finding the value of x in an equation and determining the measures of specific angles.

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Angle Measurement and Classification

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  1. Warm Up • If RS = 3x + 1, and ST = 15x – 9, RT = 64, find the value of x. Then find RS, and ST.

  2. An angle consists of two different rays with the same endpoint. The rays are the sides of the angle. The endpoint is the vertex of the angle. The angle with sides (ray) AB and (ray) AC can be named <BAC , <CAB, or <A. 1.4 Measure and Classify Angles different rays sides vertex

  3. Example: Name Angles Name three angles is the diagram:

  4. Example: Name Angles Name three angles in the diagram:

  5. angle measure Congruent Angles: Two angles are congruent angles if they have the exact same angle measure.

  6. Measuring Angles A protractor is used to find the measure of an angle. “The measure of angle BAC is 50 degrees.”

  7. Classifying Angles: Copy these into your foldable classification example measure range

  8. Angle Bisector • Write this in your foldable • A ray that divides an angle into 2 congruent adjacent angles. BD is an angle bisector of <ABC. A D B C

  9. Angle Addition Postulatewrite this into your foldable Postulate: The sum of the two smaller angles will always equal the measure of the larger angle. Complete: m  ____ + m  ____ = m  _____ MRK KRW MRW

  10. Example: Given the <LKN = 145 degrees, find m<LKM and m<MKN

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