# Worksheet: Properties of Cyclic Quadrilaterals

In this worksheet, we will practice identifying whether a quadrilateral is cyclic and using cyclic quadrilateral properties to find a missing angle.

**Q1: **

Is a cyclic quadrilateral?

- Ano
- Byes

**Q2: **

In cyclic quadrilateral , if , what is ?

**Q3: **

Is a cyclic quadrilateral?

- Ayes
- Bno

**Q4: **

Given that is a cyclic quadrilateral, find .

**Q6: **

Find .

**Q7: **

Find and .

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

**Q8: **

is a cyclic quadrilateral with and . What is ?

**Q9: **

Is the quadrilateral cyclic?

- Ayes
- Bno

**Q10: **

Find the values of and .

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

**Q11: **

Given that , , and , find .

**Q12: **

In a cyclic quadrilateral , if , find .

**Q14: **

Calculate the values of and .

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

**Q15: **

Is a cyclic quadrilateral?

- Ayes
- Bno

**Q16: **

In the figure, is a quadrilateral with and . What is ?

**Q17: **

Given that is a cyclic quadrilateral, , and , find .

**Q18: **

Find the remaining internal angles of quadrilateral .

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

**Q19: **

Find , given that is a cyclic quadrilateral with and .

**Q20: **

If is a cyclic quadrilateral, where , find .

**Q21: **

Is a cyclic quadrilateral?

- Ayes
- Bno

**Q22: **

is a cyclic quadrilateral.

Work out the size of .

- A
- B
- C
- D
- E

Work out the size of .

- A
- B
- C
- D
- E

**Q23: **

Is there a circle passing through the vertices of the quadrilateral ?

- Ayes
- Bno

**Q24: **

In the figure below, , , and . Is a cyclic quadrilateral?

- Ano
- Byes