You may use a calculator for the following questions. All of the diagram in the questions are not drawn to scale.

1) Which one of the two circles below contains a cyclic quadrilateral?

1) Which one of the two circles below contains a cyclic quadrilateral?

2) What is the size of angle A and B? Give a reason for your answer.

3) What is the value of

*x*?4) What is the size of angle

*y*? Clearly show with reasons how you obtained your answer.*Hint: Remember the previous circle theorems.*

5) Angles A and B are in the ratio of 5:7.

a) What is the size of angle A?

b) What is the size of angle B?

b) What is the size of angle B?