I started off with a 130° angle.
∠B = 95° ∠D = 138° 95+138 = 100%
∠B = 40.77253219% and ∠D = 59.22746781%
The ratio of angles => B : D = ∠BCO : ∠DCO
Therefore: ∠BCO = 53.00429185° and ∠DCO = 130° - ∠BCO = 76.99570815°
∠X = 78.99570815º ∠Y = 98.00429185º 
