Question

Use the figure below to answer the question.
In circle o, mBAC = 304°. Find mBOC.

Answer 1

To find \(mBOC\), we can use the property that the measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the intercepted arcs.

Since \(mBAC = 304°\), we know that the intercepted arc \(BC\) is also \(304°\).

Therefore, \(mBOC\) is equal to half the sum of the intercepted arcs \(BC\) and \(AC\):

\(mBOC = \frac{mBC + mAC}{2} = \frac{304° + 304°}{2} = \frac{608°}{2} = 304°\).

So, \(mBOC = 304°\). Let me know if there's anything else I can assist you with!