Applying the inscribed angle theorem, the measure of ∠BDA is: A. 83°.
What is the Inscribed Angle Theorem?
When an angle is inscribed in a circle, the measure of the angle equals half the measure of the intercepted arc, according to the inscribed angle theorem.
Given the following:
- m(BFA) = 166° [intercepted arc]
- m∠BDA = ? [inscribed angle]
Applying the inscribed angle theorem, we have:
m∠BDA = 1/2(166)
m∠BDA = 83°
Thus, applying the inscribed angle theorem, the measure of ∠BDA is: 83°.
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