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Measuring Angles

Measuring Angles. Geometry Mrs. King Unit 1, Lesson 5. Definition. Angle : formed by two rays with a common endpoint (“vertex”). A. C. B. The name can be the number inside of the angle: 3. *The name can be the vertex of the angle: G.

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Measuring Angles

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  1. Measuring Angles Geometry Mrs. King Unit 1, Lesson 5

  2. Definition Angle: formed by two rays with a common endpoint (“vertex”). A C B

  3. The name can be the numberinside of the angle: 3. *The name can be the vertex of the angle: G. The name can be a point on one side, the vertex, and a point on the other side of the angle: AGC,CGA. Practice Name the angle below in four ways.

  4. Types of Angles • Acute Less than 90° • Right Exactly 90° • Obtuse Greater than 90°, but less than 180°

  5. Types of Angles • Straight Exactly 180° • Reflex Greater than 180 but less than 360

  6. Definition Congruent Angles: angles with the same measure

  7. Angle Addition Postulate 1-8: If point B is in the interior of AOC, then mAOB + mBOC = mAOC B A O C

  8. Practice mHAT = 50 and mHAM = 125. What is the mMAT? T M A H

  9. m 1 + m 2 = m ABC 42 + m 2 = 88 m 2 = 46 Practice Suppose that m 1 = 42 and m ABC = 88. Find m 2.

  10. Angle Pairs • Vertical Angles: two angles whose sides are opposite rays 1 and 3 are vertical angles, and 2 and 4 are vertical angles. • Adjacent Angles: two coplanar angles with a common side, a common vertex, and no common interior points. 1 and 2 are adjacent angles

  11. Angle Pairs • Complementary Angles: two angles whose measures have a sum of 90. • Supplementary Angles: Two angles whose measures have a sum of 180. In the diagram, these angles are supplementary: 1 and 2, 2 and 3, 3 and 4, and 4 and 1.

  12. Homework Measuring Angles in Student Practice Packet (Page 6, #1-13)

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