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Today we will look at some angle relationships!
•Vertical Angles
•Adjacent Angles
•Complementary Angles
•Supplementary Angles
It takes two to tango!
Special Angle Pairs:
1) Vertical Angles – the angles
formed on opposite sides of
intersecting lines.
12
43
<2 and <4 are vertical angles so we know
m<2 = m<4
Vertical angles are always congruent
2) Adjacent Angles – are angles that share a common vertex and a common side.
21
1
2
12
Complementary Angles – two angles whose sum is 90 degrees
Supplementary Angles – two angles whose sum is 180 degrees
Complementary Angles
60
X
90 - 60 = X
30 = X
What is the complement of a 72 degree angle?
What is the complement of a 35 degree angle?
18 degrees
55 degrees
Supplementary Angles
38 X
X = 180-38 X = 142 degrees
360°
180°