Circle Theorems

$R\,$ and $S\,$ are points on the circumference of a circle with centre $O$ . $TUV\,$ is a tangent to the circle at point $U$ .

Angle $41^\circ$

a.

Find the size of angle $R U O$ . Give reasons for each stage of your working.

[2]

b.

Find the size of angle $R S U$ . Give reasons for each stage of your working.

[2]

$R\,$ and $S\,$ are points on the circumference of a circle with centre $O$ . $TUV\,$ is a tangent to the circle at point $U$ .

Angle $41^\circ$

a.

Find the size of angle $R U O$ . Give reasons for each stage of your working.

[2]

b.

Find the size of angle $R S U$ . Give reasons for each stage of your working.

[2]

Circle Theorems Questions