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Understanding Angle Relationships in Geometry

Learn about angle relationships such as adjacent, vertical, and linear pairs, as well as complementary and supplementary angles. Practice examples provided, including finding angle measures and identifying perpendicular lines.

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Understanding Angle Relationships in Geometry

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  1. Angle Relationships

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

  3. Angle Relationships • Complementary <s (comp) – 2 angles whose sum is 90˚ • Supplementary <s (supp) – 2 angles whose sum is 180˚

  4. Examples • 20 comp ____ 2. 93 comp ____ 3. 20 supp ____ 4. 93 supp ____ Find the measures of 2 supp angles if one angle is 6 less than 5 times the other angle:

  5. Perpendicular Lines – lines that form right angles X W Y Z

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

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

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