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In the figure it is given that ∆ADE is an isosceles ∆
so angle AED=Angle ADE
so angle ABD=angle AED are equal! becuase both have their supplement ary angle same
so the sides AC and AE are equal
Now in ∆ABD and∆ AEC
angle ABD= angle AEC
AD=AE
BD = EC. given
so ∆ADB≈∆AEC
Now adding ∆ADE to both sides
so ∆ADB+∆ADE≈∆AEC+∆ADE
∆ABE≈∆ACD
[here ≈ is equal to congruent sign]
so angle AED=Angle ADE
so angle ABD=angle AED are equal! becuase both have their supplement ary angle same
so the sides AC and AE are equal
Now in ∆ABD and∆ AEC
angle ABD= angle AEC
AD=AE
BD = EC. given
so ∆ADB≈∆AEC
Now adding ∆ADE to both sides
so ∆ADB+∆ADE≈∆AEC+∆ADE
∆ABE≈∆ACD
[here ≈ is equal to congruent sign]
sahildhande987:
please mark it as the brainliest
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