1.6 Angle Pair Relationships

# 1.6 Angle Pair Relationships - o =50 o =50 o Example •...

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Which angles are adjacent? 1 3 2 4 Vertical Angles – 2 angles that share a common vertex & whose sides form 2 pairs of opposite rays. <1&<3, Then what do we call <1&<3?
Linear Pair (of angles) 2 adjacent angles whose non-common sides are opposite rays. 1 2

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Example Vertical angles? Adjacent angles? <1&<2, <2&<3, Linear pair? Adjacent angles not a linear pair? 1 3 2 5 4
Important Facts Vertical Angles are congruent. The sum of the measures of the angles in a linear pair is 180 o .

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Example: If m<5=130 o , find m<3 m<6 m<4 5 3 4 6 =130

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Unformatted text preview: o =50 o =50 o Example: • Find x y m<ABE m<ABD m<DBC m<EBC 3x+5 o y+20 x+15 4y-15 x=40 y=35 m<ABE=125 o m<ABD=55 o m<DBC=125 o m<EBC=55 o A B C D E Complementary Angles • 2 angles whose sum is 90 o 1 2 35 o A 55 o B <1 & <2 are complementary <A & <B are complementary Supplementary Angles • 2 angles whose sum is 180 o 1 2 130 o 50 o X Y <1 & <2 are supplementary. <X & <Y are supplementary. Ex : <A & <B are supplementary. m<A is 5 times m<B. Find m<A & m<B. m<A + m<B = 180 o m<A = 5(m<B) Now substitute! 5(m<B) + m<B = 180 o 6(m<B)=180 o m<B=30 o m<A=150 o Assignment Assignment...
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1.6 Angle Pair Relationships - o =50 o =50 o Example •...

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