Question : In $\triangle P Q R, S$ is a point on the side QR such that $\angle Q P S=\frac{1}{2} \angle P S R, \angle Q P R=78^{\circ}$ and $\angle P R S=44^{\circ}$. What is the measure of $\angle PSQ$?

Question : If $ABCD$ be a cyclic quadrilateral in which $\angle A=x^\circ,\angle B=7x^\circ,\angle C=5y^\circ,\angle D=y^\circ$, then $x:y$ is: 

Question : ABCD is a cyclic quadrilateral and AD is a diameter. If $\angle$ DAC = 55$^\circ$ then value of $\angle$ABC is:

Question : $ABCD$ is a cyclic quadrilateral of which $AB$ is the diameter. Diagonals $AC$ and $BD$ intersect at $E$. If $\angle DBC=35^\circ$, then $\angle AED$ measures _________

Question : ABCD is a cyclic quadrilateral. Sides AB and DC, when produced, meet at E and sides AD and BC, meet at F. If $\angle $ADC = 76$^\circ$ and $\angle$AED = 55$^\circ$, then $\angle$AFB is equal to: