Answer:
x=45°
Explanation
let E be the vertex of 80° and 55° meeting point
in triangle BCE
∠55°+∠C+∠B=180°
∠55°+∠C+90°=180°
∠C=180°-90°-55°=35°
IN triangle EDC
∠E+∠D+∠C=180°
given ∠E=80° ∠C=55° ∠D=X
80°+X+55°=180°
X=180°-80°-55°
X=45°
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