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1-5 Angle Relationships

Learn about angle relationships such as adjacent angles, linear pairs, vertical angles, complimentary angles, and supplementary angles. Practice identifying angle pairs and solving for angle measures. Includes examples and exercises.

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1-5 Angle Relationships

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  1. 1-5 Angle Relationships Angle Relationships: Adjacent Angles – 2 angles with a common vertex and common side, but noncommon interior points Linear Pair – A pair of adjacent angles with noncommon sides that are opposite rays Vertical Angles – 2 nonadjacent angles formed by 2 intersecting lines Complimentary Angles: 2 angles whose sum is 90 Supplementary Angles: 2 angles whose sum is 180

  2. Identifying Angle Pairs Example 1: Name an angle or angle pair that satisfies each condition. • Two vertical angles • A linear pair • Two adjacent angles • Two complimentary angles • Two supplementary angles

  3. Angle Measure • Example 2: Find the measures of two complementary angles if the difference in their measures is 18. • Example 3: <E and <F are supplementary. The measure of <E is 54 more than <F. Find the measures of each angle

  4. Perpendicular Lines • Perpendicular lines make 4 90° angles • Example 4: Solve for x and y given MQ and NR are perpendicular.

  5. Classwork/Homework • P. 51-52 8-32 even

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