Free Printable Angle Bisectors and Angle Addition Postulate Practice

1.

Find the measure of <1 if $m<CUB=78^o$

a)

12

b)

30

c)

48

d)

126

2.

\overrightarrow{US}

bisects

\angle BUL

,

m\angle BUS=2x+10

, and

m<SUL=3x-18

. Find

m<BUL

.

a)

$28^o$

b)

$52^o$

c)

$128^o$

d)

$132^o$

3.

$m\angle HAK=4x-2$ , $m\angle KAW=2x-5$ , $m\angle HAW\ =\ 77^o$

Write an equation to set up this problem.

(a)

4.

$\overrightarrow{IE}$ bisects $\angle FIR$ . If the $m\angle FIR\ =124\$ and $m\angle RIE\ =\ 7x\ -\ 1$ , find the value of x.

a)

3

b)

9

c)

62

d)

124

5.

$m\angle TRI=3x-5,\ m<IRB\ =\ x\ +\ 27,\$ and $m\angle TRB=86\degree.$ Does $\overrightarrow{RI}$ bisect $\angle TRB$ ?

(a)

6.

What value of x did you get for #5 when you solved your equation?

a)

4

b)

16

c)

43

d)

64

7.

$m<WOV=132\degree.\ \ \overrightarrow{OL}$ bisects $\angle WOV$ . $m\angle LOV=5x+1.$ Find the value of x.

a)

6

b)

11

c)

13

d)

23

8.

$\overrightarrow{BD\ }$ bisects $\angle ABC.$ Solve for x and find $m<ABC.$
$m\angle ABD=3x+20$ and $m\angle CBD=6x-16$

a)

x = 5; $m<ABC=50$

b)

x = 15; $m\angle ABC=48\degree$

c)

x = 11; $m<ABC=\ 56\degree$

d)

x = 12; $m\angle ABC=112\degree$

9.

Find the $m\angle NEO$ .

a)

63

b)

72

c)

99

d)

162

10.

Find the $m\angle DEO$ .

a)

63

b)

72

c)

99

d)

162

11.

Find the $m\angle DES$ .

a)

63

b)

72

c)

99

d)

162

12.

Find the $m\angle SEO$ .

a)

63

b)

72

c)

99

d)

162

Angle Bisectors and Angle Addition Postulate Practice

Total questions: 12

Worksheet time: 3600secs

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