# 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

**Q3: **

In the figure, intersects and at and respectively. 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 .

**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 .