In this worksheet, we will practice using the parallelism of lines to find a missing angle depending on its relationship with another angle.

**Q2: **

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

**Q4: **

Work out the value of in the figure.

**Q5: **

Work out the value of in the figure.

**Q6: **

Work out the value of in the figure.

**Q7: **

Work out the value of in the figure.

**Q8: **

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

**Q11: **

Find .

**Q12: **

In the figure, and are parallel. Find .

**Q14: **

What is the value of ?

**Q15: **

Given that , find the value of . Then use that to find the value of .

- A ,
- B ,
- C ,
- D ,

**Q16: **

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.

- ANo
- BYes, because and are parallel
- CYes, by the criterion

**Q17: **

Answer the questions for the given figure.

Find the value of .

Find the value of .

Find the value of .

**Q18: **

The figure shows three parallel lines.

Find the value of .

Find the value of .

**Q19: **

In the figure below, given that , find .

**Q20: **

From the information in the figure below, find .

- A
- B
- C
- D

**Q21: **

Find .

**Q22: **

Find .

**Q23: **

Determine .

**Q24: **

Find .

**Q25: **

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