Circle Theorems

$P\,$ and $Q\,$ are points on the circumference of a circle, centre $O$ . $LMN\,$ is a tangent to the circle at point $M$ .

Angle $67^\circ$

a.

Find the size of angle $P M O$ . Give reasons for each stage of your working.

[2]

b.

Find the size of angle $P QM$ . Give reasons for each stage of your working.

[2]

$P\,$ and $Q\,$ are points on the circumference of a circle, centre $O$ . $LMN\,$ is a tangent to the circle at point $M$ .

Angle $67^\circ$

a.

Find the size of angle $P M O$ . Give reasons for each stage of your working.

[2]

b.

Find the size of angle $P QM$ . Give reasons for each stage of your working.

[2]

Circle Theorems Questions