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
