# Worksheet: Applications of Parallel Lines

Q1:

Find .

• A
• B
• C
• D

Q2:

In the figure, what is ?

• A
• B
• C
• D

Q3:

Answer the questions for the given figure.

Find the value of .

Find the value of .

Q4:

Find .

• A
• B
• C
• D

Q5:

In the following figure, and . Find and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q6:

Find .

• A
• B
• C
• D

Q7:

Find .

• A
• B
• C
• D

Q8:

Find .

Q9:

Find .

Q10:

Given that and , find .

Q11:

Find .

Q12:

Answer the questions for the given figure.

Find the value of .

Find the value of .

Find the value of .

Q13:

Given that and , find the size of .

• A
• B
• C

Q14:

In the given figure, and are parallel.

Work out the measure of angle .

Are triangles and similar? If yes, why?

• Ayes, by the criterion
• Byes, because angle equals angle .
• Cno

Q15:

The figure shows three parallel lines.

Find the value of .

Find the value of .

Q16:

The given figure shows a pair of parallel lines and two transversals, one of which crosses at right angles.

Write an expression for in terms of .

• A
• B
• C
• D
• E

Using this expression for , find a fully simplified expression for in terms of .

• A
• B
• C
• D
• E

Q17:

Given that is parallel to , find the values of and .

• A ,
• B ,
• C ,
• D ,

Q18:

Which of the following is sufficient to ensure that lines and are parallel?

• Aif
• Bif , where and are NOT in the same plane
• Cif and lie in the same plane
• Dif , where and are in the same plane

Q19:

Find the value of .

• A
• B
• C
• D

Q20:

Determine .

• A
• B
• C
• D

Q21:

Find the value of .

• A
• B
• C
• D

Q22:

Find .

• A
• B
• C
• D

Q23:

In the figure below, given that , find .

Q24:

In the figure below, given that , find .

Q25:

Given that and , find .