1

$A$, $B$, $C$ and $D$ are points on a circle. Angle $ACB = 53^\circ$. Work out the size of angle $ADB$, marked $x$.

2

In the diagram, $T$ is a point on a circle and the straight line through $T$ is a tangent. $TA$ is a chord and $B$ is a point on the circle. Angle $ABT$ is $53^\circ$. Work out the size of the angle between the tangent and the chord $TA$, marked $x$.

3

$A$, $B$, $C$ and $D$ are points on a circle. The chords $AC$ and $BD$ meet at $E$. Angle $BAC = 34^\circ$ and angle $ACD = 37^\circ$. Work out the size of angle $ABD$.