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

The correct option is B.

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=(1)/(2)(arc(AE)-arc(BD))`

`\angle DCB=(1)/(2)(100-30)`

`\angle DCB=(1)/(2)(70)`

`\angle DCB=35`

The measure of angle C is 35 degree. The correct option is B.