Download Geometry - Angle bisectors

Geometry
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Angle bisectors
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Each figure shows a triangle with one of it's angles bisected. The bisected angles are marked as 1 and 2.
1) Find m∠1 if m∠2 = 25°.
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2) m∠CED = 96°. Find m∠1.
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3) Find m∠1 if m∠EGF = 48°.
4) Find m∠2 if m∠XVW = 64°.
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5) m∠1 = 24°. Find m∠2.
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6) Find m∠ACB if m∠2 = 31°.
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7) Find m∠UST if m∠2 = 23°.
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8) m∠2 = 30°. Find m∠1.
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9) m∠2 = 22°. Find m∠CAB.
10) Find m∠1 if m∠XVW = 76°.
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Worksheet by Kuta Software LLC
11) m∠HFG = 30°. Find m∠1.
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12) m∠ZXY = 68°. Find m∠2.
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13) Find x if m∠1 = 6 x − 1 and
m∠RTS = 10 x + 4.
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14) m∠2 = 4 x + 4 and m∠1 = 5 x − 2.
Find x.
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1 2
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15) Find x if m∠2 = −4 + 7 x and
m∠HFG = 11 x + 10.
16) Find x if m∠1 = 4 x + 3 and
m∠2 = 3 x + 7.
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17) m∠2 = 2 x + 13 and m∠XVW = 6 x + 10.
Find x.
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18) m∠2 = 16 x − 3 and m∠ZXY = 29 x + 3.
Find x.
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2 1
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19) m∠2 = 5 x + 10 and m∠1 = −4 + 7 x.
Find x.
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20) Find x if m∠2 = 26 x and
m∠FHG = 53 x − 2.
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Worksheet by Kuta Software LLC
21) Find x if m∠2 = 4 + 2 x and
m∠FDE = 5 x + 1.
22) Find x if m∠2 = 4 x − 3 and
m∠1 = 3 x + 5.
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23) Find x if m∠2 = 4 x + 7 and
m∠1 = 6 x − 7.
24) m∠1 = 4 x + 3 and m∠2 = 5 x − 5.
Find x.
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25) Find m∠2 if m∠1 = 10 + x and
m∠2 = 3 x − 10.
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26) Find m∠1 if m∠2 = 33 x − 1 and
m∠1 = 32 x.
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27) m∠2 = 22 x + 1 and m∠1 = 24 x − 1.
Find m∠2.
28) m∠1 = 6 x − 2 and m∠2 = 4 x + 18.
Find m∠2.
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Worksheet by Kuta Software LLC
29) m∠1 = 2 x + 6 and m∠2 = 3 x − 2.
Find m∠1.
30) m∠2 = 14 x − 2 and m∠1 = 13 x + 2.
Find m∠1.
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31) m∠2 = 10 + 2 x and m∠1 = 4 x − 10.
Find m∠1.
32) m∠1 = −1 + 6 x and m∠2 = 5 x + 5.
Find m∠2.
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33) Find m∠SUT if m∠2 = x + 19 and
m∠SUT = 5 x + 8.
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34) m∠1 = 1 + 4 x and m∠2 = 3 x + 5.
Find m∠YWX.
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35) m∠1 = 12 x − 1 and m∠2 = 11 x + 2.
Find m∠VTU.
36) Find m∠UST if m∠2 = 6 x − 1 and
m∠UST = 10 x + 10.
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Worksheet by Kuta Software LLC
Answers to Angle bisectors
1) 25°
5) 24°
9) 44°
13) 3
17) 8
21) 7
25) 20°
29) 22°
33) 58°
2) 48°
6) 62°
10) 38°
14) 6
18) 3
22) 8
26) 32°
30) 54°
34) 34°
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3) 24°
7) 46°
11) 15°
15) 6
19) 7
23) 7
27) 23°
31) 30°
35) 70°
-5-
4) 32°
8) 30°
12) 34°
16) 4
20) 2
24) 8
28) 58°
32) 35°
36) 70°
Worksheet by Kuta Software LLC