# What is A?

Mar 8, 2018

${88}^{\circ}$
Opposite angles of a cyclic quadrilateral add up to ${180}^{\circ}$
So $\angle B + \angle D = {180}^{\circ} \implies x + {116}^{\circ} = {180}^{\circ} \implies x = {64}^{\circ}$
So $\angle A = 2 x - {40}^{\circ} = 2 \times {64}^{\circ} - {40}^{\circ} = {88}^{\circ}$