Math 1
Name___________________________________ ID: 1
Mod. 16-18 Postulate and Theorems Test Review
Date________________ Period____
Angle Addition Postulate
1) Find m IKL if m JKL = 67°
and m JKI = 33°.
J
K
L
2) Find x if m PRS = 94°,
m QRP = 2x + 11,
and m QRS = 10x + 9.
Q
I
P
R
S
3) m STB = 57°, m STU = 1 + 170x,
and m BTU = 114x. Find m STU.
4) m JBC = x + 8, m ABJ = 40°,
and m ABC = 5x. Find m JBC.
B
A
J
S
T
U
B
C
Linear Pair Theorem
Solve for x.
5)
6)
(3x + 2)°
(x + 34)°
(5x + 3)°
72°
Segment Addition Postulate
Solve for x.
7)
Q
7x − 2
4x
R
S
8)
H
2x + 17
10
I
J
x + 20
20
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Worksheet by Kuta Software LLC
EXIT TICKET
9) m CDS = 64° and m CDE = 159°.
Find m SDE.
10) Find x if m YHI = 5 + 13x,
m GHY = 3x + 5, and m GHI = 90°.
D
E
C
I
Y
S
G
A) 102°
C) 95°
B) 99°
D) 85°
A) −8
C) −1
H
B) 5
D) 1
11) Find m JKH if m JKH = 2x + 3,
m JKL = 19x, and m HKL = 150°.
K
L
J
H
A) 9°
C) 27°
B) 21°
D) 26°
Find the measure of angle b.
12)
124°
b
A) 136°
C) 56°
B) 124°
D) 34°
Solve for x.
13)
2x − 1
E
F
8x
G
9
A) −5
C) 3
B) −2
D) 1
Find the length indicated.
14) Find DF
D
2x + 26
6
E
F
x + 22
A) 11
C) 12
B) 10
D) 18
-2-
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Worksheet by Kuta Software LLC
Math 1
Name___________________________________ ID: 1
Mod. 16-18 Postulate and Theorems Test Review
Date________________ Period____
Angle Addition Postulate
1) Find m IKL if m JKL = 67°
and m JKI = 33°.
J
K
L
2) Find x if m PRS = 94°,
m QRP = 2x + 11,
and m QRS = 10x + 9.
Q
I
P
R
34°
S
12
3) m STB = 57°, m STU = 1 + 170x,
and m BTU = 114x. Find m STU.
4) m JBC = x + 8, m ABJ = 40°,
and m ABC = 5x. Find m JBC.
B
A
J
S
T
U
B
171°
C
20°
Linear Pair Theorem
Solve for x.
5)
6)
(3x + 2)°
(x + 34)°
(5x + 3)°
72°
36
21
Segment Addition Postulate
Solve for x.
7)
7x − 2
Q
4x
R
S
8)
H
2x + 17
10
I
J
x + 20
20
−7
2
-1-
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Worksheet by Kuta Software LLC
EXIT TICKET
9) m CDS = 64° and m CDE = 159°.
Find m SDE.
10) Find x if m YHI = 5 + 13x,
m GHY = 3x + 5, and m GHI = 90°.
D
E
C
I
Y
S
G
A) 102°
*C) 95°
B) 99°
D) 85°
A) −8
C) −1
H
*B) 5
D) 1
11) Find m JKH if m JKH = 2x + 3,
m JKL = 19x, and m HKL = 150°.
K
L
J
H
A) 9°
C) 27°
*B) 21°
D) 26°
Find the measure of angle b.
12)
124°
b
A) 136°
*C) 56°
B) 124°
D) 34°
Solve for x.
13)
2x − 1
E
F
8x
G
9
A) −5
C) 3
B) −2
*D) 1
Find the length indicated.
14) Find DF
D
2x + 26
6
E
F
x + 22
A) 11
*C) 12
B) 10
D) 18
-2-
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Worksheet by Kuta Software LLC