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