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Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters. m widehat(RS)

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters. \newlinemRSundefinedm \widehat{RS}

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Full solution

Q. Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters. \newlinemRSundefinedm \widehat{RS}
  1. Identify Diameter of Circle: Identify that RSRS is a diameter of the circle.\newlineSince RSRS is a diameter, it splits the circle into two equal halves.
  2. Circle Division by Diameter: Recognize the properties of a circle divided by a diameter.\newlineA diameter divides a circle into two semicircles, each representing an angle of 180180 degrees at the center.
  3. Calculate Arc Measure: Calculate the measure of the arc or central angle mRSundefinedm\widehat{RS}. Since RSRS is a diameter, the arc or central angle mRSundefinedm\widehat{RS} spans a semicircle. Therefore, the measure of mRSundefinedm\widehat{RS} is 180180 degrees.

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