Secant ABC intersects a circle at A and B. Chord BD̲ is drawn. Then, ∠CBD ____ than 12BD̂.

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Secant ABC intersects a circle at A and B. Chord $\underset{̲}{BD}$ is drawn. Then, ∠CBD ____ than $\frac{1}{2} \hat{BD}$ .

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Detailed Solution

The straight-line ABC which cuts the circle with center O at points A and B. The chord BD has been drawn. We produce BO. DO and AD.
The measure of the chord is equal to the angle it subtends at the center with its two radii which is known as the central angle.