# TRANSVERSAL LINES WORKSHEET

Transversal Lines Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on transversal lines.

Before look at the worksheet, if you would like to learn about transversal lines,

## Transversal Lines Worksheet - Problems

Problem 1 :

In the figure given below,  let the lines l1 and l2 be parallel and m is transversal. If F  =  65°, find the measure of each of the remaining angles.

Problem 2 :

In the figure given below,  let the lines l1 and lbe parallel and t is transversal. Find the value of x.

Problem 3 :

In the figure given below,  let the lines l1 and l2 be parallel and t is transversal. Find the value of x.

## Transversal Lines Worksheet - Solutions

Problem 1 :

In the figure given below,  let the lines l1 and l2 be parallel and m is transversal. If F  =  65°, find the measure of each of the remaining angles.

Solution :

From the given figure,

F and H are vertically opposite angles and they are equal.

Then,

H  =  F

H  =  65°

H and D are corresponding angles and they are equal.

Then,

D  =  H

D  =  65°

D and B are vertically opposite angles and they are equal.

Then,

B  =  D

B  =  65°

F and E are together form a straight angle.

Then, we have

F + E  =  180°

Substitute F  =  65°.

65° + E  =  180°

E  =  115°

E and G are vertically opposite angles and they are equal.

Then,

G  =  E

G  =  115°

G and C are corresponding angles and they are equal.

Then,

C  =  G

C  =  115°

C and A are vertically opposite angles and they are equal.

Then,

A  =  C

A  =  115°

Therefore,

A  =  C  =  E  =  G  =  115°

B  =  D  =  F  =  H  =  65°

Problem 2 :

In the figure given below,  let the lines l1 and lbe parallel and t is transversal. Find the value of x.

Solution :

From the given figure,

(2x + 20)° and (3x - 10)° are corresponding angles.

So, they are equal.

Then,

2x + 20  =  3x - 10

30  =  x

Problem 3 :

In the figure given below,  let the lines l1 and l2 be parallel and t is transversal. Find the value of x.

Solution :

From the given figure,

(3x + 20)° and 2x° are consecutive interior angles.

So, they are supplementary.

Then,

3x + 20 + 2x  =  180°

5x + 20  =  180°

5x  =  160°

x  =  32°

After having gone through the stuff given above, we hope that the students would have understood how to solve problems on transversal lines.

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