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Find the measure of the indicated arc

Find the measure of the indicated arc-example-1

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Answer:

m SQ = 95°

Explanation:

The measure of the inscribed angle RSQ is one half the measure of its intercepted arc, that is

m RQ = 2 × 95° = 190°

To find the measure of SQ subtract the sum of the measures of SR and RQ from 360

m SQ = 360° - (75 + 190)° = 360° - 265° = 95°

User Harold Cavendish
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