Free Printable Angles from Transversals

1.

In the figure if $m\angle12=74\degree.$ Find $m\angle4\$ and give proper reasoning.

a)

$74\degree$ because they are corresponding angles.

b)

$106\degree$ because alternate interior angles.

c)

$106\degree$ because corresponding angles.

d)

undefined because they are consecutive interior angles.

2.

Solve for x and give proper reasoning.

a)

x=8 because if two $\parallel$ lines are cut by a transversal then alternate interior angles are $\cong$ .

b)

x=9 because if two undefined lines are cut by a transversal then consecutive interior angles areundefined .

c)

x=4 because if two undefined lines are cut by a transversal then corresponding angles areundefined .

d)

x=9 because if two undefined lines are cut by a transversal then alternate exterior angles areundefined .

3.

Find X and Y.

a)

X=14

Y=37

b)

X=42

Y=138

c)

X=2

Y=174

d)

X=14

Y=138

4.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

5.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

6.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

7.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

8.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

9.

Solve for angle 5

a)

65

b)

60

c)

110

d)

115

10.

∠2 & ∠4 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

11.

10)Given the two parallel lines cut by a transversal,

What is the measure of $\angle5$ ?

a)

88

b)

92

c)

2

d)

176

12.

Find C

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

13.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

14.

If angle 6 is 25 degrees, how many degrees is angle 7?

a)

25 degrees

b)

50 degrees

c)

90 degrees

d)

155 degrees

15.

Find the value of x.

a)

x = 133

b)

x = 47

c)

x = 180

d)

x = 90

16.

Find y.

a)

130

b)

50

17.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

18.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

19.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

20.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

Angles from Transversals

Total questions: 20

Worksheet time: 2hrs 40mins

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