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 = [tex]\frac{1}{2}(m\widehat{AE}-m\widehat{BD})[/tex]
36° = [tex]\frac{1}{2}(m\widehat{AE}-48)[/tex]
72° = [tex]m\widehat{AE}-48[/tex]°
[tex]m\widehat{AE}[/tex] = 72 + 48
[tex]m\widehat{AE}[/tex] = 120°
Therefore, Option (3) is the answer.
