Answer:
x = 30
Step-by-step explanation:
Since the triangles are similar, that is
ΔABC and ΔDEC
The 3 angles in ΔDEC sum to 180°, thus
∠C + ∠D + ∠E = 180°, that is
55° + 65° + ∠E = 180°
120° + ∠E = 180° ( subtract 120 from both sides )
∠E = 60° and
∠E = ∠B = 2x = 60 ( divide both sides by 2 )
x = 30