In the adjoining figure, \( A B C D \) is a square, diagonal \( B D \) is extended through \( D ...

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In the adjoining figure, \( A B C D \) is a square, diagonal \( B D \) is extended through \( D \) to E. \( A D=D E \) and \( A E \) is drawn as shown in figure. What is the measure of \( \angle D A E \) ?
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