Circle Theorems

$A\,$ and $B\,$ are points on the circumference of a circle with centre $O$ . $XYZ\,$ is a straight line tangent to the circle at point $Y$ .

Angle $53^\circ$

a.

Find the size of angle $A Y O$ . Give reasons for each stage of your working.

[2]

b.

Find the size of angle $A B Y$ . Give reasons for each stage of your working.

[2]

$A\,$ and $B\,$ are points on the circumference of a circle with centre $O$ . $XYZ\,$ is a straight line tangent to the circle at point $Y$ .

Angle $53^\circ$

a.

Find the size of angle $A Y O$ . Give reasons for each stage of your working.

[2]

b.

Find the size of angle $A B Y$ . Give reasons for each stage of your working.

[2]

Circle Theorems Questions