Question

"In the figure, what is m A) 15 B) 35 C) 50 D) 65"

Answer 1

B) 35
the formula is .5(outer angle - inner angle) = .5(100-30)=.5*70=35

Answer 2

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.