Option B:
m∠C = 35°
Solution:
Given data:
m(ar BD) = 30° and m(ar AE) = 100°
To find the measure of angle C:
We know that,
Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.
[tex]$m \angle C=\frac{1}{2}({arc} \ AE-{arc} \ BD)[/tex]
[tex]$=\frac{1}{2}{( 100^\circ-30^\circ )[/tex]
[tex]$=\frac{1}{2}\times {70^\circ[/tex]
= 35°
m∠C = 35°
Option B is the correct answer.
