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
