如图,D在BC边上,△ABC≌△ADE,∠EAC=40°,则∠ADE的度数为___.求详细过程
如图,D在BC边上,△ABC≌△ADE,∠EAC=40°,则∠ADE的度数为___.
△ABC ≌ △ADE
∠BAC = ∠DAE
∴∠BAD = ∠EAC = 40°
△ABC ≌ △ADE
∠ABC = ∠ADE
AB = AD
∠ABD = (180° - ∠BAD)/2 = 70°
∴ ∠ADE = 70°
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如图,D在BC边上,△ABC≌△ADE,∠EAC=40°,则∠ADE的度数为___.
△ABC ≌ △ADE
∠BAC = ∠DAE
∴∠BAD = ∠EAC = 40°
△ABC ≌ △ADE
∠ABC = ∠ADE
AB = AD
∠ABD = (180° - ∠BAD)/2 = 70°
∴ ∠ADE = 70°