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:

Option 1: $34^\circ$

Option 2: $26^\circ$

Option 3: $29^\circ$

Option 4: $27^\circ$

Question : In $\triangle {ABC}$, D is a point on BC such that $\angle {ADB}=2 \angle {DAC}, \angle {BAC}=70^{\circ}$ and $\angle {B}=56^{\circ}$. What is the measure of $\angle A D C$?

Option 1: $72^{\circ}$

Option 2: $54^{\circ}$

Option 3: $74^{\circ}$

Option 4: $81^{\circ}$