$$ABCD$$ is a cyclic quadrilateral inscribed in a circle of radius 5. $$E$$ is a point on the arc $$ADC$$. If angle $$AEC$$ is $$20^\circ$$ then

A

angle $$ABC$$ is $$160^\circ$$

B

angle $$ADC$$ is $$20^\circ$$

C

angle $$ABC$$ is $$100^\circ$$

D

angle $$ADC = 100^\circ$$