August 30, 2016
Warm UP:
Distance Formula _____________________________
Where did it come from? _________________________________
August 30, 2016
Adjacent Angles
Linear Pair
Vertical Angles
Complementary:
Supplementary:
August 30, 2016
Two angles are complementary angles if the sum of their measures
is 90˚. Each angle is the complement of the other.
Two angles are supplementary angles if the sum of their measures
is 180˚. Each angle is the supplement of the other.
Adjacent angles are two angles that share a common vertex and
side, but have no common interior points.
Is it necessary for complementary angles to be adjacent angles?
Is it necessary for supplementary angles to be adjacent angles?
C
B
70
60
110
50
40
100
90
90
100
80
120
110
120
70
130
60
130
140
30
80
140
50
40
0°
150
150
30
160
20
160
10
A
0
20
10
170
180
D
0
170
180
August 30, 2016
1
2
4
3
Give all possible names for each set of
angles.
A. <1 and <3
B. <1 and <2
C. <4 and <2
D. <3 and <4
Two angles form a linear pair. The measure
of one angle is 3 times the measure of the
other angle. Find the measure of each angle.
45˚ and 135˚
August 30, 2016
The measure of an angle is twice the
measure of its complement. Find the
measure of each angle.
60˚ and 30˚
3y+34
5x+2
2y-7+x
August 30, 2016
The sum of an angle's complement and
supplement is 194. Find the measure of the
angle.