Explanation:
An arc measure is an angle the arc makes at the center of a circle
From the given question, we will have to apply the intersecting chord theorem
If two chords intersect in the interior of a circle, then the measure of each angle is one half the sum of the
measures of the arcs intercepted by the angle and its vertical angle.
[tex]\begin{gathered} In\text{ our case} \\ m
Thus
[tex]\begin{gathered} 71.4=\frac{1}{2}(65.6^0+mRA) \\ \\ mRA=2\times71.4-65.6^0 \\ mRA=77.2^0 \end{gathered}[/tex]
Thus, the answer is 77.2 degrees
