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42 votes
Which of the following option represent the measure of arc ra?

Which of the following option represent the measure of arc ra?-example-1
User Magicman
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1 Answer

11 votes
11 votes

Step-by-step 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.


\begin{gathered} In\text{ our case} \\ m<p>Thus</p>[tex]\begin{gathered} 71.4=(1)/(2)(65.6^0+mRA) \\ \\ mRA=2*71.4-65.6^0 \\ mRA=77.2^0 \end{gathered}

Thus, the answer is 77.2 degrees

Which of the following option represent the measure of arc ra?-example-1
User Lajos
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3.6k points