Question : In a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intersect at C. If $\angle {POQ}=54^{\circ}$, then the measure of $\angle {PCA}$ is:

Question : Let P and Q be two points on a circle with centre O. If two tangents of the circle through P and Q meet at A with $\angle PAQ=48^{\circ}$, then $\angle APQ$ is:

Question : In a circle, O is the centre of the circle. Chords AB and CD intersect at P. If $\angle AOD=32^{\circ}$ and $\angle CO B=26^{\circ}$, then the measure of $\angle APD$ lies between:

Question : AB and CD are two chords in a circle with centre O and AD is a diameter. AB and CD produced meet a point P outside the circle. If $\angle A P D=25^{\circ}$ and $\angle D A P=39^{\circ}$, then the measure of $\angle C B D$ is:

Question : AB is the diameter of a circle with centre O. If P is a point on the circle such that $\angle$AOP=110°, then the measure of $\angle$OBP is: