Given O below, if and are congruent, what is the measure of BOC?A.50B.130C.115D.65SUBMITarrow_backPREVIOUS

To solve the problem regarding the angles and to find the measure of angle $BOC$, let's break it down.

1. Break Down the Problem

• We have angles that are congruent, and we need to find the measure of $\angle BOC$.
• We are provided with multiple-choice options and need to determine which one is correct based on the properties of congruent angles.

2. Relevant Concepts

• Congruent angles are angles that have the same measure.
• If we are given that angles are congruent, we can set them equal to each other.

3. Analysis and Detail

• Let's assume that the angles that are congruent to $\angle BOC$ are $\angle AOB$ and $\angle AOC$.
• Because those angles are congruent, $\angle AOB = \angle AOC = \angle BOC$.
• From the context of the problem, we need some additional information about the angles involved (which may have been given prior to this question) to determine their measures precisely.

4. Verify and Summarize

• If we assume additional information indicates that $\angle AOB + \angle BOC + \angle AOC = 180^\circ$ (in a straight line), we then have a way to find $\angle BOC$.
• If we cannot deduce exact measures without that information, we must rely on the congruency and choice options provided.

Final Answer

Without the specific measures or further context, we can conclude:

• If $x$ is the measure of any of the congruent angles, and all three angles sum up to $180^\circ$, then we could infer more, but we still need valid angle sums or measures.

Given no further context but relying on the choice options, we can make educated guesses based on typical angle measures.

Since the problem doesn't explicitly define the relationships or external angle measures involved, the final conclusion is:

• $\angle BOC$ is likely one of the provided options, needing a choice based on typical angle arrangements.

Final estimation without complete data: Let’s assume we choose option B, 130°, but please refer to additional problem details or geometrical context for accuracy in practical applications.

Please select the specific option from A, B, C, or D based on further relations or clues provided in the complete problem setting.