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.
[tex]\angle DCB=\frac{1}{2}(arc(AE)-arc(BD))[/tex]
[tex]\angle DCB=\frac{1}{2}(100-30)[/tex]
[tex]\angle DCB=\frac{1}{2}(70)[/tex]
[tex]\angle DCB=35[/tex]
The measure of angle C is 35 degree. The correct option is B.
