Question

Determine the measure of ∠F.Question options:1) 64°2) 52°3) 128°4) 256°

Answer 1

ANSWER :

The answer is 1) 64

EXPLANATION :

The measurement of the inscribed angle is half the measurement of the intercepted arc.

From the given figure,

The inscribed angle is Angle F

The intercepted arc is Arc BD

So this will become :

$\begin{gathered} \angle F=\frac{1}{2}\text{Arc BD} \\ \angle F=\frac{1}{2}(128) \\ \angle F=64 \end{gathered}$