﻿ Parallel Lines cut by Transversal Worksheet | Problems & Solutions

# Parallel Lines cut by Transversal Worksheet

Parallel Lines cut by Transversal Worksheet
• Page 1
1.
The lines $l$ and $m$ are parallel. Which of the following is a pair of adjacent supplementary angles?

 a. $\angle$4 and $\angle$3 b. $\angle$2 and $\angle$7 c. $\angle$4 and $\angle$2 d. $\angle$2 and $\angle$5

2.
In the following figure, PQ is parallel to RS. The transversal XY cuts the lines PQ and RS at A and B, respectively. What is the measure of $\angle$$y$ if $\angle$BAQ = 120°?

 a. 60° b. 180° c. 120° d. 360°

3.
Identify a pair of corresponding angles in the figure.

 a. $\angle$1 and $\angle$6 b. $\angle$3 and $\angle$8 c. $\angle$6 and $\angle$5 d. $\angle$5 and $\angle$7

4.
AB and CD are two parallel lines and EF is the transversal. Find the value of $x$.

 a. 50° b. 90° c. 60° d. 40°

5.
The lines $l$ and $m$ are parallel in the figure. Find the value of $a$.

 a. 60° b. 30° c. 90° d. 45°

6.
AB and CD are parallel lines. EF is transversal. If $\angle$5 = 106° then find $\angle$4.

 a. 106° b. 70° c. 74° d. 180°

7.
What is $\angle$5, if the lines $l$ and $m$ are parallel and $\angle$1 is 4 times $\angle$2?

 a. 46° b. 36° c. 144° d. 51°

8.
In the figure shown, PQ is parallel to RS. The transversal XY cuts the lines PQ and RS at the points A and B respectively. What is $a$, if $\angle$YBS = 130°?

 a. 110° b. 65° c. 130° d. 75°

9.
In the figure shown, PQ is parallel to RS. The transversal XY cuts the lines PQ and RS at the points A and B respectively. What is $y$, if $\angle$QAB = 115°?

 a. 115° b. 180° c. 60° d. 55°

Find the measure of $\angle$$p$ and $\angle$$q$.
 a. $m$$\angle$$p$ = $m$$\angle$$q$ = 65° b. $m$$\angle$$p$ = $m$ $\angle$$q$ = 60° c. $m$$\angle$$p$ = 65° and $m$$\angle$$q$ = 75° d. None of the above