Answer:
(A)41°.
Step-by-step explanation:
We know that in Kite, the diagonals are the angle bisectors, therefore
In Kite ABCD, m∠ACD=82°, thus
[tex]m{\angle}DCE=\frac{1}{2}m{\angle}ACD[/tex]
Substituting the given value, we have
⇒[tex]m{\angle}DCE=\frac{1}{2}(82^{\circ})[/tex]
⇒[tex]m{\angle}DCE=41^{\circ}[/tex]
Therefore, the measure of m∠DCE is 41°.
Hence, option A is correct.
