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2.4 Vertical Angles

2.4 Vertical Angles. Definitions. Vertical angles – are not adjacent, and their sides are formed by two intersecting lines 1 and 3 are vertical angles 2 and 4 are vertical angles. 1. 4. 2. 3. Definitions.

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2.4 Vertical Angles

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  1. 2.4 Vertical Angles

  2. Definitions • Vertical angles – are not adjacent, and their sides are formed by two intersecting lines • 1 and 3 are vertical angles • 2 and 4 are vertical angles 1 4 2 3

  3. Definitions • Linear pair – two adjacent angles whose noncommon sides are on the same line • 5 and 6 are a linear pair common side 5 6 Noncommon side Noncommon side

  4. Vertical Angle, Linear Pair, or Neither? 2 1 3 4 6 5

  5. Postulate 7 – Linear Pair Postulate • If two angles form a linear pair, then they are supplementary • m 1 + m 2 = 180˚ 1 2

  6. Use the Postulate • Find the measure of RSU • 118˚ U 62˚ R S T

  7. Theorem 2.3 - Vertical Angles Theorem • Vertical Angles are congruent • 1 3 and • 2 4 2 3 1 4

  8. Use the Theorem • Find the measure of CED D A E 50˚ B C

  9. Find Angle Measures • Find m 1, m 2, and m 3 1 2 35˚ 3

  10. Use Algebra with Vertical Angles • Find the value of y • (4y-42) = 2y • -42 = -2y • 21 = y 2y˚ (4y-42)˚

  11. Guided Practice • Pg. 78 #1-8

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