题干

如图,已知△ACF≌△DBE,且点A,B,C,D在同一条直线上,∠A=50°,∠F=40°.

(1)求△DBE各内角的度数;

(2)若AD=16,BC=10,求AB的长.

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答案(点此获取答案解析)

解:(1)∵△ACF≌△DBE,∠A=50°,∠F=40°,

∴∠D=∠A=50°,∠E=∠F=40°,

∴∠EBD=180°﹣∠D﹣∠E=90°;


(2)∵△ACF≌△DBE,

∴AC=BD,

∴AC﹣BC=DB﹣BC,

∴AB=CD,

∵AD=16,BC=10,

∴AB=CD=

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