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Question

The measure of the minor arc of a circle is 160°. Find the measures of the corresponding central angle and the corresponding major arc.

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Solution

Measure of the minor arc is 160°.
So, the measure of the central angle will be 160° (Since the measure of the central angle corresponding to a minor arc is also the measure of the minor arc).

Measure of the major arc will be 200° (Measure of major arc = 360° − Measure of the corresponding minor arc).

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