Respuesta :

Answer:

x=1056.25

Step-by-step explanation:

(2x)(2x)(55)=(65)(65)(55) Multiply

4x(55)=232375    Divide 55 from each side

4x=4225   Divide each side by 4

x=1056.25

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