Worksheet: Angles of Intersecting Lines in a Circle
In this worksheet, we will practice finding the measures of angles resulting from the intersection of two chords, two secants, or tangents and secants in a circle.
Q2:
In the given figure, . Determine .
Q3:
Determine .
Q4:
In the given figure, find .
Q5:
Find the value of .
Q6:
Given that , find .
Q7:
Find .
- A
- B
- C
- D
- E
Q8:
Find .
Q9:
Find .
- A
- B
- C
- D
- E
Q10:
Given that, in the shown figure, and , determine the value of .
Q11:
Given that , find the value of .
Q12:
Given that is a tangent to the circle, find .
Q13:
Find .
Q14:
The circle in the given figure has an arc with a measure of .
What is the measure of the central angle?
What is the measure of the inscribed angle?
What is the measure of the circumscribed angle?
Q15:
Find .
Q16:
Find the value of .
Q17:
Given that, in the shown figure, and , determine the value of .
Q18:
In the given figure, find .
Q19:
Find .
- A
- B
- C
- D
- E
Q20:
In the shown figure, is tangent to the circle, , , and . Determine the lengths of and .
- A ,
- B ,
- C ,
- D ,
Q21:
is the regular pentagon drawn inside the circle , is a tangent to the circle at , and is a tangent to the circle at . Find .
Q22:
The point is outside a circle with centre . The line between and intersects the circle at and , and the line between and meets the circle at points and . Given that and , find .
Q23:
Given that and are two tangents to the circle , and , determine .
Q25:
Find .