In circle O, what is mArc A E?

Question

asked Sep 11, 2021 88.2k views

1 Answer

Shamsup · Answer 1 · 2021-09-15T22:26:22+0000

Answer:

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.