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1.5 Angle Relationships

1.5 Angle Relationships. Pairs of Angles. Adjacent <s - <s in same plane with common vertex & side but no common interior points Vertical <s – 2 non-adjacent <s formed by 2 intersecting lines Linear Pair – adjacent <s whose noncommon sides are opposite rays. Angle Relationships.

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1.5 Angle Relationships

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  1. 1.5 Angle Relationships

  2. Pairs of Angles • Adjacent <s - <s in same plane with common vertex & side but no common interior points • Vertical <s – 2 non-adjacent <s formed by 2 intersecting lines • Linear Pair – adjacent <s whose noncommon sides are opposite rays

  3. Angle Relationships • Complementary <s – 2 <s with a sum of 90˚ • Supplementary <s – 2 <s with a sum of 180˚

  4. Example: Find measures of 2 supplementary <s if one < is 6 less than 5 times the other <:

  5. Perpendicular Lines – Lines that form right <s X W Y Z

  6. Example – What can/cannot be assumed from the picture? m<VYT = 90 <TYW & <TYU are supplementary <VYW & <TYS are adjacent <s

  7. Examples • Find measures of <ABG, <DBC, & <EBF: • Name an < adjacent to <EBD: • Name an < vertical to <DBA: • Name the complementary of <FBG: • Name the supplementary of <ABC: • Which < forms a linear pair with <EBF? • Which pair of lines are perpendicular? • TRUE or FALSE: <DBC & <EBF are vertical <s. D C 90 38 E A B 30 F G

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