Answer:
The correct option is B.
Step-by-step explanation:
If two cords intersect outside a circle then the measure of the angle formed is one-half the absolute difference of the measures of the intercepted arcs.
\(\angle DCB=\frac{1}{2}(arc(AE)-arc(BD))\)
\(\angle DCB=\frac{1}{2}(100-30)\)
\(\angle DCB=\frac{1}{2}(70)\)
\(\angle DCB=35\)
The measure of angle C is 35 degree. The correct option is B.
