Question

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Answer 1

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.

$m \angle C=\frac{1}{2}({arc} \ AE-{arc} \ BD)$

        $=\frac{1}{2}{( 100^\circ-30^\circ )$

        $=\frac{1}{2}\times {70^\circ$

       = 35°

m∠C = 35°

Option B is the correct answer.