Download Lesson 1.5

Lesson 5: Angle Relationships
» Adjacent angles: two angles that lie in the same plane, have a
common vertex and a common side, but no common interior
points
» Vertical angles: two nonadjacent angles formed by two
intersecting lines
» Linear pair: a pair of adjacent angles with non-common sides
that are opposite rays
» Complementary angles: two angles with measures that add up
to 90
» Supplementary angles: two angels with measures that add up
to 180
» Perpendicular ( ): lines, segments or rays that form right
angles

Adjacent angles
M
Vertical angles
O
L
D
A
C
B
N
D
Linear pair
E
Complementary angles
B
A
72
18
C
Supplementary angles
Perpendicular lines
R
40
140
S
V
T
U
A. Name two adjacent angles
whose sum is less than 90.
B. Name two acute vertical angles.
Find the measures of two supplementary angles
if the measure of one angle is 6 less than five
times the measure of the other angle.
A. Name an angle supplementary
to BEC.
B. Name a linear pair whose
vertex is E.
C. Name two acute vertical
angles.
Find the measures of two complementary
angles if one angle measures six degrees less
than five times the measure of the other.
The supplement of A measures 140 degrees.
What is the measure of the complement of
A?
ALGEBRA Find x and y so that
KO and HM are perpendicular.