# Worksheet: Parallel Lines and Transversals: Angle Relationships

In this worksheet, we will practice naming and identifying angle pairs formed by parallel lines and transversals and recognizing their relationships to find a missing angle.

Q1:

In the given figure, and are parallel. Work out the measure of angle .

Are triangles and similar? If yes, why?

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

Q2:

Find . Q3:

In the figure, intersects and at and respectively. Find . Q4:

In the figure, what is ? Q5:

Find . Q6:

Find . Q7:

In the figure, and are parallel. Find . Q8:

In the given figure, and are parallel. Work out the measure of angle .

• A
• B
• C
• D
• E

Work out the measure of angle .

• A
• B
• C
• D
• E

Are triangles and similar? If yes, state the criteria.

• AYes, by the criterion
• BYes, because and are parallel
• CNo

Q9:

In the figure below, given that , find . Q10:

From the information in the figure below, find . • A
• B
• C
• D

Q11:

Find . Q12:

Find . Q13:

Determine . Q14:

Given that , find . Q15:

Find . Q16:

Find . Q17:

Find . Q18:

In the figure . Find . Q19:

Find . Q20:

Given that and , find . Q21:

Given that , , , and the point lies on the ray , determine the measure of . Q22:

Given that and , find the measure of . Q23:

Given that is parallel to and the points , , and are collinear, find the measure of all the angles of . • A, ,
• B, ,
• C, ,
• D, ,

Q24:

Find . Q25:

In the figure, is a median of triangle . Use the information given to determine . 