Two equal chords MK and PN are drawn in a circle with center O. Find the degree measure of the larger of the arcs with

Two equal chords MK and PN are drawn in a circle with center O. Find the degree measure of the larger of the arcs with ends M and K if the angle PON is 110 °

Since the chords MK and PN are equal, then the corresponding angles in the circle on which these chords rest are equal. Hence, the smaller arc PN is equal to the smaller arc MK.
smaller arc MK = smaller arc PN = 110 °.
We know that the degree measure of the entire circle is 360 °, which means that in order to find a large arc, we need to subtract the degree measure of the smaller arc from the degree measure of the entire circle.
360 ° -110 ° = 250 °.
Answer: 250 °



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