Answer:
Option (2)
Step-by-step explanation:
In the given circle,
[tex]m(\widehat{CBD})+m(\widehat{CED})[/tex] = 360°
Therefore, 212° + [tex]m(\widehat{CED})[/tex] = 360°
[tex]m(\widehat{CED})=360-212[/tex]
= 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 = [tex]\frac{1}{2}(\widehat{CED})[/tex]
= [tex]\frac{1}{2}(148)[/tex]
= 74°
Therefore, measure of ∠ACD is half the measure of arc CD or 74°.
Option (2) will be the correct option.
