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Angle Measure

Angle Measure. Sec: 1.4. Angles. Are formed By two non-collinear rays. They have a common endpoint. The two rays are called sides of an angle. The common endpoint is the vertex. Side. B. Vertex. A. C. Side.

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Angle Measure

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  1. Angle Measure Sec: 1.4

  2. Angles • Are formed By two non-collinear rays. • They have a common endpoint. • The two rays are called sides of an angle. • The common endpoint is the vertex. Side B Vertex A C Side

  3. There are three ways to name an angle(1) Using 3 points, (2) Using 1 point (3) Using a number – next slide A C B Lesson 1-4: Angles

  4. Naming an Angle - continued Using a number: A B 2 C Lesson 1-4: Angles

  5. Example 1 • Name the following angle. B A 4 C

  6. Example 2Name the different angles Lesson 1-4: Angles

  7. Example 3Name the angles • K is the vertex of more than one angle. Therefore, there is NO in this diagram. Lesson 1-4: Angles

  8. Notes - Angle and Points • Angles can have points in the interior, in the exterior or on the angle. E A D B C Points A, B and C are on the angle. D is in the interior and E is in the exterior. B is the vertex. Lesson 1-4: Angles

  9. Example 4 Name all angles with B as a vertex. 2. Name the sides of angle 5. 3. Write another name for angle 6.

  10. Classifying Angles: D A B C

  11. Example 5 Classify each angle as right, obtuse, acute or straight. 1. Angle TYV 2. Angle WYT 3. Angle TYU 4. angleTYX

  12. Congruent angles • Two angles with the same angle measure are said to be congruent. Example:

  13. Angle Addition Postulate Postulate: The sum of the two smaller angles will always equal the measure of the larger angle. Complete: m  ____ + m ____ = m  _____ MRK KRW MRW Lesson 1-4: Angles

  14. Example 6 m1 + m2 = Therefore, mADC = Lesson 1-4: Angles

  15. Example 7: Angle Addition K is interior to MRW, m  MRK = (3x), m KRW = (x + 6) and mMRW = 90º. Find mMRK. Lesson 1-4: Angles

  16. Example 8:Angle Addition K is interior to MRW, m  MRK = (2x + 10), m KRW = (4x - 3) and mMRW = 145º. Find mMRK and m KRW. Lesson 1-4: Angles

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