Answer:
x = 20°
Explanation:
You want the value of x in the given figure.
Inscribed angle
The measure of inscribed angle RTS is half the measure of the central angle ROS, so is 5x/2 = 2.5x.
Angle measures
Triangle SOT is isosceles, so angle STO has measure equal to x.
The sum of angles RTO and OTS is 2.5x, so we have ...
30° +x = 2.5x
30° = 1.5x . . . . subtract x
x = 20° . . . . . . divide by 1.5
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