Question

In circle O, what is mArc A E?

Answer 1

Option (3). 120° will be the answer.

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 =
`(1)/(2)(m\widehat{AE}-m\widehat{BD})`

36° =
`(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.