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------------------------------------------------ Find the measure of arc AC whose inscribed angle is 62 degrees.

Answer :

The measure of arc AC is 124 degrees.

The measure of an inscribed angle is half the measure of its intercepted arc. Therefore, if an inscribed angle in a circle is 62 degrees, then the measure of the arc it intercepts, arc AC, is simply double the angle's measure.

Following this rule, we calculate the measure of arc AC:

Multiply the inscribed angle's measure by 2.

62 degrees times 2 = 124 degrees.

So, the measure of arc AC is 124 degrees.

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