Answer:
Option (D). 129°
Step-by-step explanation:
In the figure attached,
AB and CD are the diameters intersecting at the center of the circle F.
Central angle AFC = 129°
m([tex]\widehat{AC}[/tex]) = 129°
m(∠AFD) = 180° - (m∠AFC)
= 180° - (129)°
= 51°
Since m∠AFD = m∠BFC = 51° [Vertical angles]
Therefore, [tex]m(\widehat{AD})=m(\widehat{BC})=51[/tex]
Now, [tex]m(\widehat{BC})+m(\widehat{BD})[/tex] = 180°
51° + [tex]m(\widehat{BD})[/tex] = 180°
[tex]m(\widehat{BD})[/tex] = 180° - 51°
[tex]m(\widehat{BD})[/tex] = 129°
Therefore, Option (D) will be the answer.
