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Angle Pairs

Section 1-5. Angle Pairs. Types of Pairs and Relationships. Adjacent Angles Two angles that share a side and a vertex There are no common interior points Example Angle ABD and DBC Non-example Angle ABD and ABC The two angles share point D. D. A. B. C. Types and Relationships.

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Angle Pairs

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  1. Section 1-5 Angle Pairs

  2. Types of Pairs and Relationships • Adjacent Angles • Two angles that share a side and a vertex • There are no common interior points • Example • Angle ABD and DBC • Non-example • Angle ABD and ABC • The two angles share point D D A B C

  3. Types and Relationships • Vertical Angles (VERY IMPORTANT) • Result from intersecting straight lines • Angles across from the intersection point are congruent • Examples • Angles 1 and 3 • Angles 2 and 4 1 2 4 3

  4. Types and Relationships • Complementary Angles • Two angles that add to 90 degrees • Can be adjacent or separate • Supplementary Angles • Two angles that add to 180 degrees • Can be adjacent or separate • When adjacent, can be referred to as a linear pair

  5. Algebra Time • Angle KPL and JPL form a linear pair • Angle KPL = 2x + 24 • Angle JPL = 4x + 36 • Draw a figure • Find angles KPL and JPL L K P J

  6. Algebra Time • Solve for x • Angle KPL + Angle JPL = 180 • 2x + 24 + 4x + 36 = 180 • 6x + 60 = 180 - 60 - 60 • 6x = 120 6 6 • x = 20 • Now x = 20 • Angle KPL • 2(20) + 24 • 40 + 24 • 64 • Angle JPL • 180 – 64 • 116

  7. Partner Up • Angle ADB and BDC are a linear pair • Angle ADB = 3x + 14 • Angle BDC = 5x – 2 • Draw the figure • Find Angle ADB and BDC

  8. Assignment • Pg 38-39 • 11 – 30 • 33 – 36

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