# Worksheet: Inscribed Angles

In this worksheet, we will practice finding the measure of inscribed angles using the relation between angles and arcs.

**Q1: **

Given that and , determine the value of .

**Q2: **

Given that , and , find , and .

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

**Q3: **

From the figure, what is ?

**Q4: **

Given that , find , and .

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

**Q5: **

Find the value of .

**Q6: **

The measure of is . Find .

**Q8: **

Given that , find .

**Q9: **

In the given figure, the diameter of circle is . If , what is ?

**Q10: **

Given that is a diameter in the circle , and , find in degrees.

**Q11: **

Find .

**Q12: **

Given that and , find .

**Q13: **

Find and .

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

**Q14: **

Given that , find .

**Q15: **

Given that , find .

**Q16: **

Given that is a diameter of the circle and , find .

**Q17: **

In the figure, is the centre of the circle, and is the nonreflex angle at . Given that , find .

**Q18: **

Given that , find .

**Q19: **

Given that , and , find and .

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

**Q20: **

Find .

**Q21: **

Find .

**Q22: **

In the figure, intersects the circle at and , and intersects the circle at and . Given that , find .

**Q23: **

If the measure of an arc of a circle is , what is the measure of the inscribed angle subtended by that arc?

**Q24: **

Find .

**Q25: **

In the figure, is the centre and .

What is the size of angle ?

- A
- B
- C
- D
- E

What is the size of angle ?

- A
- B
- C
- D
- E