Download Complementary, Supplementary,

Complementary, Supplementary,
and Vertical angles Review
Name_______________________
Complementary angles
two angles whose sum is 90º
Supplementary angles
two angles whose sum is 180º
Vertical angles pairs of angles formed by two intersecting lines
vertical angles are equal in measure
1
2
3
4
1. In the figure below,
Find the measure of
ABD and
DBC.
DBC are ___________________ angles.
D
A
135o
B
2. In the figure below, if
C
m DBC = __________
QNP is a right angle,
QNM and
______________________ angles.
If
QNP is a right angle, find the measure of
m
QNM= __________
MNP are
Q
M
43o
QNM.
N
P
3.
A
D
E
C
B
Which angle is vertical to
AEC?
__________
Which angle is vertical to
CEB?
__________
Name an angle that is supplementary to
AEC. __________
If the m
DEB is 35o, what is the m
AEC?
__________
If the m
DEB is 35o, what is the m
AED?
__________
4. In the figure below,
EGH is a right angle.
H
I
E
G
F
Which angle is complementary to
Which angle is supplementary to
5. In the figure below,
Find the measure of
IGH.
_________
Find the measure of
IGF.
_________
EGI?
EGI?
__________
__________
HJK is a right angle.
M
N
J
o
48
L
O
K
Find the measure of
NLK. __________
Find the measure of
JLN. __________
Find the measure of
MLO. __________
Which angle is supplementary to
JLN? __________
Which angle is complementary to
JLN? __________
Which angle is a vertical angle to
JLN? __________
Which angle is supplementary to
KLM? __________
Parallel Lines and Angles
Review
Name__________________________
A transversal is a line that intersects two or more lines at different points. In the
figure below the transversal is line _________.
t
1 2
3 4
5 6
8 7
r
When a transversal intersects two
parallel lines, the angles that are formed
are either equal or supplementary.
s
1. Identify the angles in the figure above which are equal to
1. _______________
2. Identify the angles in the figure above which are equal to
2. _______________
3. Why are
1 and
4 equal in measure? ________________________________
Some of the pairs of angles formed in the figure above have special names.
4. Alternate interior angles are two nonadjacent interior angles on opposite sides of
the transversal. Name two pairs of alternate interior angles.
______________________________________
5. Corresponding angles are two angles in the same position at the intersection of the
transversal and each line. Name four pairs of corresponding angles.
______________________________________
6. Name two pairs of supplementary angles in this figure. ____________________
7. If m
3 = 38o, what is m
4? ________
8. If m
6 = 38o, what is m
7? ________
9. Label the figure with the measures of all eight angles.
10. In the figure below, if m 2 = 125o, find the measures of the other seven angles
and label the figure with the measures.
Angle
Measure
l
1
2
125o
1 2
c
3
3 4
4
5
5 6
6
8 7
d
7
8
When a transversal intersects two parallel lines, many pairs of angles are formed. Think
about the names of different pairs of angles listed below. Then, using the accompanying
figure, complete each statement using the appropriate name for the identified pair of
angles.
alternate interior angles
alternate exterior angles
corresponding angles
vertical angles
3 4
5 6
7 8
9 10
supplementary angles
11.
3 and
7 are _______________________________________.
12.
4 and
10 are ______________________________________.
13.
6 and
8 are _______________________________________.
14.
3 and
4 are _______________________________________.
15.
7 and
9 are _______________________________________.
16.
5 and
8 are _______________________________________.
17.
3
2
The flag of Puerto Rico is at the left.
Given that m 3 = 55o, determine the
1
measure of
1 and
2.
m
1 = ______
m
2 = ______
18. In the triangle, a line has been drawn through vertex A, parallel to segment BC of the
triangle.
A
1
2 3
B
4
5
C
a. What is the sum of angles 1, 2 and 3? ___________ Why?
b. What is the sum of angles 2, 4 and 5? __________ Why?
c. m
1= m
= _____, because they are a pair of ______________________angles.
d. m
3=m
= _____, because they are a pair of ______________________angles.
e. If m 4 = 32o and m 3 = 77o, then m 1 = ______, m 2 = _____, and m 5 = _____