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Answer :

Given:

In triangle ABC,

Sum of the angles in a triangle is 180 degree

[tex]\angle ACB=\angle DCE[/tex][tex]\begin{gathered} 31^{\circ}+83^{\circ}+x=180^{\circ} \\ 114^{\circ}+x=180^{\circ} \\ x=180^{\circ}-114^{\circ} \\ x=66^{\circ} \end{gathered}[/tex]

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