Question

Hi everyone . I need your's help . Please solve each and every step . Best explanation will be marked as a Brain list and don't send short answers and the matter which is not related to this question . Don't spam & please send me fast .​

Answer 1

Answer:

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Step-by-step explanation:

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AE = BF = CG = DH = x (say)

BE = CF = DG = AH = y (say)

In ΔAEH and ΔBEF, we have

AE = BF

∠A = ∠B

And

AH = BE

So, by SAS congruency criterion,

we have

ΔAEH ≃ ΔBFE

∠1 = ∠2 and

∠3 = ∠4

But ∠1 + ∠3 = 90°

and ∠2 + ∠A = 90°

∠1 + ∠3 + ∠2 + ∠A = 90° + 90°

∠1 + ∠4 + ∠1 + ∠4 = 180°

2(∠1 + ∠4) = 180°

∠1 + ∠4 = 90°

HEF = 90°

Similarly we have ∠F = ∠G = ∠H = 90°

Hence, EFGH is a Square.

or else you can do by this method i have solve