2 Adjacent Angles Two angles that share a common vertex and Definition: side but no common interior points.Definition:Examples:43Adjacent Angles( a common side )1 and 2 are adjacent.Non-Adjacent Angles1 and ADC are not adjacent.3 and 4 are not adjacent.
3 Complementary Angles Definition: A pair of angles whose sum is 90˚ Examples:Adjacent Angles( a common side )Non-Adjacent Angles
4 Supplementary Angles Definition: A pair of angles whose sum is 180˚ Examples:Adjacent supplementary angles are also called “Linear Pair.”Non-Adjacent Angles
5 Examples< 1 and < 2 are complementary angles. Given m < 1, find m < 2.a.b.< 3 and < 4 are supplementary angles. Given m < 3, find m < 4.a.b.
6 Examples< A and < B are complementary angles. Find m < A & m < B.5𝑥+4+7𝑥−10=9012𝑥−6=9012𝑥=96𝑥=8𝑚<𝐴=5 8 +4𝑚<𝐵=7 8 −10𝑚<𝐴=40+4𝑚<𝐵=56−10𝑚<𝐴=44𝑚<𝐵=46
7 Examples < C and < D are supplementary angles. Find m < C & m < D.7𝑥−3+𝑥−1=1808𝑥−4=1808𝑥=184𝑥=23𝑚<𝐶=7 23 −3𝑚<𝐵= 23 −1𝑚<𝐴=161−3𝑚<𝐵=23−1𝑚<𝐴=158𝑚<𝐵=22
8 Linear Pair Definition: Two adjacent angles are a linear pair if their non-common sides are opposite rays.The angles in a linear pair are supplementary.
9 Vertical Angles Definition: A pair of angles whose sides form opposite rays.Vertical angles are congruent.Vertical angles are non-adjacent angles formed by intersecting lines.
10 Examples What are the linear pairs? <4 and <5 What are the vertical angles?<1 and <5