2-4 Special Pairs of Angles. A) Terms 1) Complementary angles – a) Two angles whose sum is 90° b) The angles do not have to be adjacent. c) Each angle.

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Presentation transcript:

2-4 Special Pairs of Angles

A) Terms 1) Complementary angles – a) Two angles whose sum is 90° b) The angles do not have to be adjacent. c) Each angle is a complement of the other. Ex. <B and <F are complementary

2) Supplementary angles – a) Two angles whose sum is 180°. b) The angles do not have to be adjacent. c) Each angle is a supplement of the other. Ex. Find the value of x.

Ex. 2 <A and <B are complementary and <B and <C are supplementary. Find the missing part. 1) m<A = 35°, find m<B ____________. 2) m<B = 63°, find m<A______ and m<C_____. 3) m<C = 137°, find m<B____ and m<A_____. 4) m<A = (x + 4)° and m<B = (2x + 5)°, find m<A and m<B.

3) Vertical angles – are formed when two lines intersect. Ex. <1 and <4 are vertical angles. <2 and <3 are vertical angles. Theorem 2-3 Vertical angles are congruent. m<1 = m<4 and m<2 = m<3

Ex. Given m<1 = 23°, find the other angle measurements. 4) Linear Pair – are two adjacent angles which are supplementary. Ex. <1 and <2 are a Linear pair and m<1 + m<2 = 180°

Given: <2 <3 Prove: <1 <4 Statement Reason