ID: 1
Geometry A
Name___________________________________
HW 1: Segment Addition Postulate and Angle Basics
Date________________ Period____
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Solve each equation.
1) 6(v − 1) + 8v = −90
3) −2 x +
2) 5(8 x − 2) = −250
6 14
72
−
x=
5
5
5
( )
181
7
25
+ 2x = x +
18
3
6
5)
4)
1
1
5
a+ a=
2
6
6
6)
3
1 7
1
2
p−
p + 1 = −1 p −
5
4
2 5
2
(
)
Solve for x.
7)
3x − 1
x+3
Q
R
S
8)
x+8
I
x + 13
K
J
18
15
Find the length indicated.
10) Find SU
9) Find LM
29 + 2 x
L
10
x−5
N
M
S
5
T
x + 27
U
2 x − 12
Name each angle in four ways.
11)
A
B
12)
H
2
G
4
C
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F
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Worksheet by Kuta Software LLC
Name all the angles that have V as a vertex.
13)
14)
H
V
4
M
3
L
4
V 5
I
J
K
15) Find m TIJ if m HIT = 40°
and m HIJ = 180°.
J
I
16) Find m KLM if m KLN = 60°
and m NLM = 40°.
H
M
N
T
L
K
17) m KJB = 1 + 7 x, m BJI = 150°,
and m KJI = 58 x − 2. Find x.
18) Find x if m CDE = 16 x + 8,
m ADE = 9 + 13 x, and m CDA = 26°.
A
I
E
C
D
J
B
K
19) Find x if m KFE = 20 x + 2,
m GFK = 1 + 6 x, and m GFE = 159°.
20) m QRK = 10 x + 3, m KRS = 2 + 32 x,
and m QRS = 173°. Find x.
K
S
E
G
F
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R
K
Q
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Worksheet by Kuta Software LLC
21) Find x if m EVU = 4 x + 9, m WVU = 83°,
and m WVE = 7 x + 8.
U
22) m KJA = 32°, m AJI = 19 x + 9,
and m KJI = 25 x − 1. Find m KJI.
V
K
A
E
W
J
I
23) m PQA = 8 + 2 x, m AQR = 53°,
and m PQR = 8 x + 13. Find m PQA.
Q
24) Find m LKM if m MKJ = 141°,
m LKJ = 19 x − 4, and m LKM = x + 17.
P
L
A
R
M
K
J
25) m PQR = 11 x + 4, m TQR = 5 x + 6,
and m PQT = 70°. Find m PQR.
26) Find m CGF if m HGF = 120°,
m CGF = 3 x − 7, and m HGC = 9 x − 5.
R
H
C
Q
G
T
F
P
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Worksheet by Kuta Software LLC
Answers to HW 1: Segment Addition Postulate and Angle Basics (ID: 1)
1) {−6}
2) {−6}
5) {1}
6) {0}
9) 5
10) 12
12) G, 4, HGF, FGH
13)
15) 140°
16) 100°
19) 6
20) 4
23) 24°
24) 26°
3)
{ }
−
11
4
{}
5
4
8) −3
4)
7) 4
11) B, 2, ABC, CBA
3, 4, HVJ
14) 4, 5, MVK
17) 3
18) 9
21) 6
22) 174°
25) 136°
26) 26°
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Worksheet by Kuta Software LLC