measure of an inscribed angle subtended by an arc with a given measure

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Problem

measure of an inscribed angle subtended by an arc with a given measure

Step-by-step solution

The inscribed angle $\angle ABC$ subtends the arc $AC$. The measure of arc $AC$ is given as $74^\circ$. The measure of an inscribed angle is half the measure of its intercepted arc.

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Answer

$37^\circ$