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In the diagram of circle M shown, the measure of major arc PRQ=268 . Which of the following
is the measure of angle PRQ ?

In the diagram of circle M shown the measure of major arc PRQ268 Which of the following is the measure of angle PRQ class=

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Step-by-step explanation:

The Answer is 46

The measure of Arc PRQ is 268. Another part of the arc is PQ. PRQ+PQ forms a full circle In which a circle has 360 degrees. Using that

[tex]268 + x = 360[/tex]

[tex]x = 92[/tex]

Since we are asked to the measure of PRQ and it is inscribed in arc PQ. It is half of PQ so the answer is

[tex]92 \div 2[/tex]

which is 46.

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