已知:如图,△ABC中,∠ABC=90°,AD=AB,BC=EC,求∠DBE的度数.

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已知:如图,△ABC中,∠ABC=90°,AD=AB,BC=EC,求∠DBE的度数.

bae + ecb = 90
(180 - 2abd) + (180-2cbe) = 90
(180 - 2abe -2ebd) + (180-2ebd-2dbc) = 90
270 = 4ebd + 2abe +2dbc
270 = 2(abe+ebd+dbc) + 2ebd = 2*90 + 2ebd
ebd=45

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