Download Infinite Geometry - Angles and Segments

Assignment #13 Geometry
Name___________________________________ ID: 1
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Angles and Segments
1) Find m KLM if m KLH = 34°,
m KLM = 8x + 3, and m HLM = -7 + 6x.
Date________________ Period____
2) Find m UEF if m DEF = 130°,
m DEU = 6x, and m UEF = 6x + 10.
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L
D
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M
U
F
3) m IJK = 174°, m PJK = 72x + 1,
and m IJP = 13x + 3. Find m IJP.
4) m PQC = 4x + 11, m CQR = 140°,
and m PQR = 24x + 11. Find m PQC.
C
I
P
P
J
R
Q
K
Find the length indicated.
5) Find JI
6) Find HG
x-4
2x - 4
K
J
2x
I
H
4x - 2
F
G
10
10
7) Find KJ
8) Find UV
x + 13
x + 10
L
K
x
2x - 13
J
T
21
V
U
17
Worksheet by Kuta Software LLC
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Find the measure of angle b.
9)
10)
32°
b
b 102°
296°
11)
12)
b
34°
b
51°
13)
14)
40°
b
48°
b
15)
16)
244°
b
b
64°
25°
Worksheet by Kuta Software LLC
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Answers to Angles and Segments (ID: 1)
1) 99°
5) 2
9) 78°
13) 50°
2) 70°
6) 4
10) 32°
14) 48°
3) 29°
7) 9
11) 51°
15) 65°
4) 39°
8) 10
12) 146°
16) 52°
Worksheet by Kuta Software LLC
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Assignment #13 Geometry
Name___________________________________ ID: 2
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Angles and Segments
1) m GHI = 19x + 10, m UHI = 115°,
and m GHU = 5x + 7. Find m GHI.
Date________________ Period____
2) Find m IJQ if m QJK = x + 105,
m IJK = 132°, and m IJQ = x + 37.
I
K
Q
H
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I
G
3) Find m KJF if m FJI = 29x + 3,
m KJF = 9x + 3, and m KJI = 120°.
4) Find m HSR if m TSH = 41°,
m HSR = 2x + 80, and m TSR = x + 121.
I
T
S
J
R
H
F
K
Find the length indicated.
5) Find SR
6) Find ST
x
T
x
x+7
R
S
S
T
16
x-8
U
7
7) Find LN
L
x+2
8) Find GH
x+2
6
N
M
F
2x - 13
2x - 9
G
H
23
Worksheet by Kuta Software LLC
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Find the measure of angle b.
9)
10)
298°
b
39°
46°
b
11)
12)
b
50°
45°
222°
13)
b
14)
298°
b
36°
b
56°
15)
16)
147°
b
27°
b
299°
Worksheet by Kuta Software LLC
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Answers to Angles and Segments (ID: 2)
1) 162°
5) 8
9) 44°
13) 26°
2) 32°
6) 6
10) 23°
14) 34°
3) 30°
7) 9
11) 45°
15) 33°
4) 80°
8) 11
12) 88°
16) 34°
Worksheet by Kuta Software LLC
-3-
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Assignment #13 Geometry
Name___________________________________ ID: 3
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Angles and Segments
1) m ABI = x + 141, m ABC = 170°,
and m IBC = x + 51. Find m IBC.
Date________________ Period____
2) m LDC = 8x + 6, m EDL = 10x + 11,
and m EDC = 161°. Find m EDL.
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C
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C
B
E
D
A
3) Find m BCD if m BCD = 16x + 13,
m WCD = 15x + 3, and m BCW = 20°.
C
D
4) Find m LMU if m LMN = 96°,
m LMU = x + 37, and m UMN = x + 81.
N
B
W
M
U
L
Find the length indicated.
5) Find ML
6) Find TU
x + 11
M
x + 12
L
x-6
K
S
2x - 12
11
9
7) Find QS
8) Find BC
x-5
1
U
T
Q
x
S
R
B
2x - 16
9
D
C
3x + 3
Worksheet by Kuta Software LLC
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Find the measure of angle b.
9)
10)
294°
24° b
b
64°
11)
12)
b
b
106°
13)
45°
14)
22°
49°
b
b
15)
16)
31°
78° b
b
Worksheet by Kuta Software LLC
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Answers to Angles and Segments (ID: 3)
1) 40°
5) 5
9) 64°
13) 68°
2) 91°
6) 6
10) 42°
14) 131°
3) 173°
7) 8
11) 74°
15) 102°
4) 26°
8) 3
12) 45°
16) 31°
Worksheet by Kuta Software LLC
-3-
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Assignment #13 Geometry
Name___________________________________ ID: 4
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Angles and Segments
1) Find m TVU if m TVU = 6x + 13,
m WVU = 156°, and m WVT = 12x - 1.
Date________________ Period____
2) m FKL = 71x + 1, m JKF = 34°,
and m JKL = 105x + 1. Find m FKL.
U
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3) Find m IFG if m EFG = 151°,
m IFG = x + 100, and m EFI = x + 61.
4) m ILM = x + 120, m KLI = x + 68,
and m KLM = 168°. Find m ILM.
I
E
I
K
F
M
L
G
Find the length indicated.
5) Find DE
6) Find RS
x + 16
16 + x
C
2x - 4
E
D
R
22
11
T
S
3x + 1
7) Find NM
8) Find AB
x + 22
N
x + 15
M
2x - 23
A
B
L
15
x-6
C
7
Worksheet by Kuta Software LLC
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Find the measure of angle b.
9)
10)
b
64° b
78°
11)
12)
b
40°
81°
b
13)
14)
b
34°
300°
b 120°
15)
16)
39°
b
b
90°
299°
248°
Worksheet by Kuta Software LLC
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Answers to Angles and Segments (ID: 4)
1) 61°
5) 11
9) 116°
13) 60°
2) 72°
6) 8
10) 78°
14) 26°
3) 95°
7) 11
11) 140°
15) 22°
4) 110°
8) 1
12) 99°
16) 22°
Worksheet by Kuta Software LLC
-3-
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Assignment #13 Geometry
Name___________________________________ ID: 5
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Angles and Segments
1) Find m PQI if m IQR = x + 105,
m PQR = 166°, and m PQI = x + 79.
Date________________ Period____
2) m VKL = x + 72, m JKV = x + 47,
and m JKL = 115°. Find m JKV.
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P
K
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Q
I
J
R
3) m TDE = 8x - 6, m CDT = 4x + 12,
and m CDE = 102°. Find m TDE.
E
4) Find m LKA if m AKJ = 74°,
m LKA = x + 100,
and m LKJ = 2x + 174.
D
L
T
C
K
A
J
Find the length indicated.
5) Find NM
6) Find MN
15 + x
N
2x + 14
M
8
L
7x - 1
L
N
M
14
1 + 13x
7) Find QR
8) Find UT
2x - 12
x+3
12
Q
R
S
V
3x - 10
4x - 2
U
T
11
Worksheet by Kuta Software LLC
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Find the measure of angle b.
9)
10)
295°
b
23°
b
103°
11)
12)
300°
b
225°
35°
b
13)
14)
246°
b
102°
38°
60°
b
15)
16)
53°
b
61°
b
234°
Worksheet by Kuta Software LLC
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Answers to Angles and Segments (ID: 5)
1) 70°
5) 10
9) 42°
13) 76°
2) 45°
6) 6
10) 32°
14) 30°
3) 58°
7) 8
11) 25°
15) 127°
4) 100°
8) 6
12) 78°
16) 65°
Worksheet by Kuta Software LLC
-3-
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