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19 votes
19 votes
Please help me ……………

Please help me ……………-example-1
User ShirleyCC
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1 Answer

14 votes
14 votes

9514 1404 393

Answer:

arc SQ = 95°

Explanation:

The measure of an inscribed angle is half the measure of the arc it subtends. Hence long arc QR is twice the measure of inscribed angle QSR.

long arc QSR = 2×95° = 190°

The sum of measures of arcs of a circle is 360°, so we have ...

arc QS +arc SR +long arc RQ = 360°

arc QS +75° +190° = 360°

arc SQ = 95° . . . . . . . . . . . . subtract 265° from both sides

User Yunus Temurlenk
by
3.1k points
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