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Describe Angle Pair Relations
Section 1 – 5 Describe Angle Pair Relations
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Definition: Facts/Characteristics: Examples: Non-examples: Non-adjacent Two angles that share a common vertex and side, but have no common interior points. Adjacent Angle A C B D
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Two angles whose measures have the SUM 90°.
Definition: Facts/Characteristics: Examples: Non-examples: Two angles whose measures have the SUM 90°. Complementary Angles Adjacent Non-adjacent
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Two angles whose measures have the SUM of 180°
Definition: Facts/Characteristics: Examples: Non-examples: Two angles whose measures have the SUM of 180° Supplementary Angles Adjacent Non-adjacent
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Two adjacent angles whose noncommon sides are opposite rays.
Definition: Facts/Characteristics: Examples: Non-examples: Two adjacent angles whose noncommon sides are opposite rays. Linear pair SUM to 180° . Remember – “linear” means LINE, so it makes a line!! Linear Pair
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Two angles whose sides form two pairs of opposite rays.
Definition: Facts/Characteristics: Examples: Non-examples: Two angles whose sides form two pairs of opposite rays. Vertical angles are EQUAL!!!! Vertical Angles
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Example 2: Example 1: Complementary: Supplementary For complementary:
Angle 2 = 90 – 43 Angle 2 = 47°
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Example 3: Have to find x first: Forms a linear pair which = 180 so:
9x x = 180 16x + 20 = 180 16x = 160 Use x to find y, we have VERTICAL ANGLES for 7x & 2y so: x = 10 7x = 2y plug in for x 7(10) = 2y 70 = 2y 35 = y
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Homework 1.5 Pg. 38 – 40 1, 3-7, 8-30 even, 31-32, 40, 42
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