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 : 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. 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:

Question : I is the incenter of a triangle ABC. If $\angle$ ABC = 65$^\circ$ and $\angle$ ACB = 55$^\circ$, then the value of $\angle$ BIC is: 

Question : ABCD is a cyclic quadrilateral and BC is the diameter of the circle. If $\angle D B C=29^{\circ}$, then $\angle B A D=$?