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Answer: ∠DCE = 92°
Step-by-step explanation:
Since, AB || DE
So, from the property of alternate angles we know that if two Lines are parallel and if another line intersect them then their "alternate angles are equal".
Here, ∠BAC = ∠CED = 35°
And in ∆CDE ,
∠CED + ∠CDE + ∠DCE = 180°
35° + 53° + ∠DCE = 180°
∠DCE = 180° - 88°
Hence, ∠DCE = 92°_______(Ans.)
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