Uploaded by ARIELLE DORISME

# 4-The Exterior Angle Theorem

```Kuta Software - Infinite Geometry
Name___________________________________
The Exterior Angle Theorem
Date________________ Period____
Find the measure of each angle indicated.
1)
U
2)
T
V
50&deg;
?
50&deg;
120&deg;
?
V
T
U
115&deg;
R
P
3)
U
S
70&deg;
4)
Y
T
?
80&deg;
25&deg;
R
S
?
50&deg;
P
T
5)
C
E
T
6)
U
T
140&deg;
?
?
80&deg;
110&deg;
45&deg;
S
J
D
7)
8)
T
G
G
P
?
E
?
58&deg;
28&deg;
35&deg;
F
R
95&deg;
Q
Solve for x.
9)
P
R
30&deg;
H
8 + 6x
4x + 2
Q
&copy;j A2A0D1o1y bKEu5tsam dSPo8f2tVw7aDraeR mLYLqCB.D A vASldl2 Ir3ihg7hutusX erle9sseErgvLe2dp.9 c OMka2dceh NwJittuhr IIhnzf4iBnqintVeu CGueoo7mfettEr9yb.2
-1-
Worksheet by Kuta Software LLC
10)
T
11)
S
5 x + 10
C
46&deg;
58&deg;
D
−1 + 8 x
18 x + 5
B
W
11 x + 2
U
A
12)
13)
C
10 x − 10
C
Q
A
12 x − 4
15 x + 5
30&deg;
120&deg;
A
B
14)
D
B
9x − 2
22 x + 4
D
B
V
20 x + 5
40&deg;
C
Find the measure of the angle indicated.
15) Find m∠S.
16) Find m∠H.
S
G
89&deg;
H
5x − 7
3x + 4
140&deg;
J
14 x + 1
8x + 4
F
T
R
D
17) Find m∠FAB.
18) Find m∠YDC.
C
Y
15 x + 5
55&deg;
B
D
3x + 2
13 x − 3
A
6x + 6
F
&copy;H I2f0g1x1L DKVugttaw CSMoCf0t2wbavrrep gL4LNCa.w a 1A3lPl0 Jrciqg0hpt5sm YrZe1sVe6rWvwedd5.8 I 8MeaPdmeI twmiGtehJ MIhnXf7i8nTiHtQeJ HGVe2ozmGeYtarGyo.G
80&deg; C
B
-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
The Exterior Angle Theorem
Date________________ Period____
Find the measure of each angle indicated.
1)
U
2)
T
V
50&deg;
?
50&deg;
120&deg;
?
V
T
U
115&deg;
R
P
70&deg;
65&deg;
3)
U
S
70&deg;
4)
Y
T
?
80&deg;
25&deg;
R
S
?
50&deg;
P
105&deg;
T
120&deg;
5)
C
E
T
6)
U
T
140&deg;
?
?
80&deg;
110&deg;
45&deg;
S
J
D
30&deg;
95&deg;
7)
8)
T
G
G
P
?
E
?
58&deg;
28&deg;
35&deg;
F
95&deg;
Q
R
86&deg;
130&deg;
Solve for x.
9)
R
P
30&deg;
H
8 + 6x
4x + 2
Q
12
&copy;P D2c0o1E14 XKPugt9aC iSbo9fwtew6aHrTeL GL7LCC8.g e 3Afljlu brBiSgxhvtrsK Rr7etsUeZr6v7eVdv.f G SMHaXdte0 bw6iTtfhP CIdnffoiZnaiztpeB xGxeKoVmWe9tgr8yJ.s
-1-
Worksheet by Kuta Software LLC
10)
T
11)
S
5 x + 10
C
46&deg;
58&deg;
D
−1 + 8 x
18 x + 5
B
W
11 x + 2
4
U
A
11
12)
13)
C
10 x − 10
C
Q
A
12 x − 4
15 x + 5
30&deg;
120&deg;
A
B
B
3
12
14)
22 x + 4
D
D
B
9x − 2
V
20 x + 5
40&deg;
C
3
Find the measure of the angle indicated.
15) Find m∠S.
16) Find m∠H.
S
G
89&deg;
H
5x − 7
3x + 4
140&deg;
J
14 x + 1
8x + 4
F
T
R
D
40&deg;
38&deg;
17) Find m∠FAB.
18) Find m∠YDC.
C
Y
15 x + 5
55&deg;
B
D
3x + 2
13 x − 3
A
80&deg; C
6x + 6
F
B
75&deg;
140&deg;
Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com
&copy;Y I2M0f1r1i mKTujtDan mSKoVfutKwBabrzeC PLVLtCF.Z b WA3lSlG jrRirgPhQtjsg yr4e1sDemrKvSemdW.k G cMealdvem mwfiitBhr wI3nHfcicnMi4tJeD tGZeQoUmAeAtGrZyn.z
-2-
Worksheet by Kuta Software LLC
```