1 Answer

Rrmerugu · Answer 1 · 2021-07-21T11:51:33+0000

Answer:

Option (2)

Explanation:

In the given circle,

$m(\widehat{CBD})+m(\widehat{CED})$ = 360°

Therefore, 212° +
$m(\widehat{CED})$ = 360°

$m(\widehat{CED})=360-212$

= 148°

Tangent - chord theorem states,

"Angle between a chord and tangent measure the half of the angle measure of the intercepted minor arc."

m∠ACD =
$(1)/(2)(\widehat{CED})$

=
(1)/(2)(148)

= 74°

Therefore, measure of ∠ACD is half the measure of arc CD or 74°.

Option (2) will be the correct option.

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