Free Printable Angle Addition and Angle Bisectors

1.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

2.

a)

x=67

b)

x=43

c)

x=55

d)

x=12

3.

Angle ABC measures 34^o. What is the measure of angle CBD?

a)

17^o

b)

34^o

c)

68^o

4.

It divides or bisects a segment into two congruent segments; the point in the middle of the segment.

a)

point

b)

midpoint

c)

line

d)

bisector

5.

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

a)

12

b)

30

c)

48

d)

126

6.

Find the measures of $\angle EFJ$ and $\angle JFG\ if$

\overrightarrow{FJ}\

bisects

\angle EFG

a)

m<EFJ = 90, m<JFG = 90

b)

m<EFJ = 45 m<JFG = 45

c)

m<EFJ = 180, m<JFG = 180

d)

m<EFJ = 45 m<JFG = 90

7.

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

(a)

8.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

9.

$\overrightarrow{BD}$ bisects $\angle ABC$ , $m\angle ABD=3x+5$ and $m\angle ABC=2x+30$ . Find $m\angle DBC$ .

a)

$15\degree$

b)

$35\degree$

c)

$5\degree$

d)

$20\degree$

10.

Name all the angles that have V as a vertex.

a)

A

b)

B

c)

C

d)

D

11.

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

a)

6

b)

11

c)

13

d)

23

12.

$\overrightarrow{BD\ }$ 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; $m\angle ABC=112\degree$

13.

What is the value of x?

a)

10.667

b)

11.333

c)

42

d)

10

14.

What is the value of x?

a)

24

b)

48.5

c)

97.5

d)

48

15.

What is the value of x?

a)

9.5

b)

29.5

c)

20

d)

16.5

Angle Addition and Angle Bisectors

Total questions: 15

Worksheet time: 15mins

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