Question

In circle O, what is mArc A E?

Answer 1

Answer:

Option (3). 120° will be the answer.

Step-by-step explanation:

By using the theorem of secants intersecting externally,

Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs.

m∠C = $\frac{1}{2}(m\widehat{AE}-m\widehat{BD})$

36° = $\frac{1}{2}(m\widehat{AE}-48)$

72° = $m\widehat{AE}-48$°

$m\widehat{AE}$ = 72 + 48

$m\widehat{AE}$ = 120°

Therefore, Option (3) is the answer.