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The central angle ∠RVT measures 92°. What is the measure of arc RT?*1 pointA. 46°B. 92°C. 184°D. 268°

Question

The central angle RVT ∠RVT measures 92°. What is the measure of arc RT?

1 point

  • A. 46°
  • B. 92°
  • C. 184°
  • D. 268°
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Solution

Break Down the Problem

  1. Identify that the measure of the arc RT is directly related to the measure of the central angle ∠RVT.
  2. Recall that the measure of an arc in a circle is equal to the measure of its corresponding central angle.

Relevant Concepts

  1. The measure of an arc (in degrees) is equal to the measure of the central angle that subtends it.
  2. Hence, if the central angle ∠RVT is given, the measure of arc RT will be the same.

Analysis and Detail

  1. Given that ∠RVT = 92°, we can determine the measure of arc RT.
  2. According to the property mentioned above, arc RT also measures 92° because they are subtended by the same central angle.

Verify and Summarize

  1. Since both the central angle and the arc share the same degree measure, the calculation reaffirms that arc RT is definitively 92°.

Final Answer

The measure of arc RT is B. 92°.

This problem has been solved

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