Akite is inscribed in a circle. find each variable.

∠x = (1/2) of the arc → ∠x = (1/2)(72) → ∠x = 36°
∠y = (1/2) of the arc → ∠y = (1/2)(72) → ∠y = 36°

∠y and ∠w are complimentary angles since the third angle is 90°
∠y + ∠w = 90°
36° + ∠w = 90°
         ∠w = 54°

x = 36° , y = 36° , w = 54°