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 .