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fomenos
3 years ago
6

Please help me ……………

Mathematics
1 answer:
bija089 [108]3 years ago
8 0

9514 1404 393

Answer:

  arc SQ = 95°

Step-by-step 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

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