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Refer the attachment for the solution..
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Given:-
<A = 35⁰
<D = 53⁰
We know,
<BAE = <AED = 35⁰ ( A . I .A )
Now in ΔDCE,
53⁰ + 35⁰ + x = 180 ( Angle Sum Property)
x + 88⁰= 180
or , x = 180 - 88
x = 92⁰
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