#1
#2 A
A B
C
If ⦟C measures 38° and ⦟B is 66°, what does ⦟A measure? #3
B
C
If ⦟A measures 82° and ⦟B is 47°, what does angle ⦟C measure? #4
A
C
B
If ⦟A measures 23° and ⦟B is 64°, what does angle ⦟C measure?
A B
C
If ⦟C measures 57° and ⦟B is 88°, what does angle ⦟A measure?
#5
A
B
C
#6 D
E
G
F
A
B
C
D
H
E
G
F
H
⦟C and ⦟B are congruent because they are _________________________________.
⦟E and ⦟F add up to 180° because they are _________________________________.
#7
#8
A
B
C
D
E
G
F
H
⦟E and ⦟A are congruent because they are _________________________________.
A
B
C
D
E
G
F
H
⦟G and ⦟E add up to _____° because they are _________________________________.
#9
A
C
106 °
E G
D
F H
#10
A
C
B
E G
74 °
F H
What is the value of ⦟G ? How do you know?
What is the value of ⦟E ? How do you know?
#11
#12
⦟G is ____ ° because it is a _____________ _____________ to the given angle of 106°. A
C
B
E G
74 °
F H
What is the value of ⦟H ? How do you know?
⦟H is ____ ° because it is a ___________________ _____________ to the given angle of 74°.
⦟E is ____ ° because it is a _____________ _____________ to the given angle of 74°. A
C
106 °
E G
D
F H
What is the value of ⦟D ? How do you know?
⦟D is ____ ° because it is a _________________ _____________ to the given angle of 106°.
#13
#14 150째 6 7 8
3
1 4
2
1
3
2
4
39째
7
6
8
Find the measure of all angles created by this transversal.
Find the measure of all angles created by this transversal.
#15
#16 1 2 3 4
5 6 7 118째
Find the measure of all angles created by this transversal.
1 2 3 4
5 6 67째 8
Find the measure of all angles created by this transversal.
#18
#17 a
b
a
c
67 °
Find the measures of ⦟a , ⦟b and ⦟c
#19
118 °
b
a
30 °
c
Find the measures of ⦟a , ⦟b and ⦟c
b
137 °
46 °
c
44 °
Find the measures of ⦟a , ⦟b and ⦟c
#20
a
b
c 90 °
142 °
Find the measures of ⦟a , ⦟b and ⦟c
#21
#22
A B
C
A
D
B
C
Using mathematical symbols write an equation about the relationship between ⦟A , ⦟B and ⦟C.
Using mathematical symbols write a formula for the exterior angle D of this triangle.
#23
#24
60 °
88 °
D
50 °
42 °
Find the measure of ⦟D. Show your mathematical reasoning.
D
30 °
90 °
Find the measure of ⦟D. Show your mathematical reasoning.
ANSWER KEY 1)
2)
⦟A measures 76°. 5)
⦟C and ⦟B are congruent because they are VERTICAL ANGLES.
9)
⦟G is 106 ° because it is a ALTERNATE EXTERIOR ANGLE _to the given angle of 106°.
⦟C measures 51° 6)
⦟E and ⦟F add up to 180° because they are ADJACENT ANGLES
10)
⦟E is 74 ° because it is a ALTERNATE INTERIOR ANGLE to the given angle of 74°.
3)
4)
⦟C measures 93°.
⦟A measures 35° .
7)
8)
11)
12)
⦟E and ⦟A are congruent because they are CORRESPONDING ANGLES. ⦟H is 74 ° because it is a CORRESPONDING ANLGE to the given angle of 74°.
⦟G and ⦟E add up to ________° because they are ADJACENT ANGLES.
⦟D is 74° because it is a ADJACENT ANGLE to the given angle of 106°.
13)
17)
21)
⦟1 = 150° ⦟2= 30° ⦟3= 30° ⦟4= 150° ⦟6 = 30° ⦟7= 30° ⦟8= 150°
⦟a=46 ° ⦟b=67 ° ⦟c= 67 °
⦟A + ⦟B + ⦟C = 180°
14) ⦟1 = 39°
15)
18)
19)
22)
⦟2= 141° ⦟3= 141° ⦟4= 39° ⦟6 = 141° ⦟7= 141° ⦟8= 39°
⦟a=44 ° ⦟b=93 ° ⦟c= 43°
⦟A + ⦟C = ⦟D
23)
⦟1 = 118° ⦟2= 62° ⦟3= 62° ⦟4= 118° ⦟5 = 118° ⦟6= 62° ⦟7= 62°
⦟a=118° ⦟b=30° ⦟c= 32 °
The measure of the exterior angle is equal to the sum of the nonadjacent interior angles. 88 + 42=130
16)
20)
⦟1 = 113° ⦟2= 67° ⦟3= 67° ⦟4= 113° ⦟5 = 113° ⦟6= 67° ⦟8= 113°
⦟a=142° ⦟b=52° ⦟c= 90°
24) The measure of
the exterior angle is equal to the sum of the nonadjacent interior angles. 60 + 90=150
The exterior angle measures 150 The exterior angle measures 130 degrees. degrees.