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Find the measure of the arc or angle indicated

Find the measure of the arc or angle indicated-example-1
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User Nissar
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Use the rules for inscribed angles here: an inscribed angle is half the measure of the arc it intercepts. If angle N is 86, then its intercepted arc is 172. We already have part of its intercepted arc as 94, so arc RQ is 78. If angle S is 78, then it is half the measure of its intercepted arc and we already have part of it: 78. Therefore, the other arc, the one you're looking for, is 78.
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User Kaffee Bohne
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