Respuesta :

sreedevi102

Answer:

Reason : by ASA , x = 36

Step-by-step explanation:

∠ABC = ∠EBD      (vertically opposite angle)

BC = BD = 54        (same length)

∠BAC = ∠BDE       (alternate interior angles)

By ASA , ΔABC ≅ ΔDBE

[tex]54 \times x = 36 \times 54\\\\x = 36[/tex]

cindy974
Therefore AB:BD = CB:BE
AB/BD= CB/BE
36/54=54/BE
36BE= 54 x 54
BE= 54 x 54 / 36
BE = 81

Regards,
Armycee:)
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