Circle Properties & Theorems (Edexcel IGCSE Maths): Exam Questions

$A$ and $C$ are points on a circle, centre $O$. $AB$ and $CB$are tangents to the circle. Angle $ABC$ = 52°

Work out the size of angle $x$. Give a reason for each stage of your working.

$P$ is a point on a circle with centre $O$

Write down the mathematical name of the line $OP$

$A$ and $C$ are points on a circle, centre $O$ $DA$ is the tangent to the circle at $A$ and $DC$ is the tangent to the circle at $C$

Angle $ADC$ = 48°

Work out the size of reflex angle $AOC$