# Worksheet: Angles Formed by Lines Intersecting inside a Circle

In this worksheet, we will practice finding the measure of an angle that is formed by lines intersecting inside a circle.

**Q2: **

Find .

**Q4: **

Find .

**Q5: **

Find the value of .

**Q6: **

Find in the given figure.

**Q7: **

Find the value of .

**Q8: **

Find the value of .

**Q9: **

Find .

**Q10: **

Given that and , find .

**Q11: **

Given that is a diameter in the circle , determine and .

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

**Q12: **

Given that and , find .

**Q13: **

Find .

**Q14: **

In the figure, determine .

**Q15: **

Given that , and is the midpoint of , find .

**Q16: **

Find .

**Q17: **

Find .

**Q18: **

Find .

**Q19: **

If , find .

**Q20: **

Given that , find .

**Q21: **

In the figure, and are equal chords and and are their midpoints. Determine .

**Q22: **

Given that , find .

- A
- B
- C
- D

**Q23: **

Given that and are two equal chords in the circle , where and , find and the length of .

- A , 86 cm
- B , 43 cm
- C , 86 cm
- D , 43 cm

**Q24: **

Find .

**Q25: **

What is ?