Answer:
arc RS = 72°
Step-by-step explanation:
The measure of the inscribed angle SQR is half the measure of its intercepted arc RS , then
2x + 14 = [tex]\frac{1}{2}[/tex] (6x + 6) = 3x + 3 ( subtract 2x from both sides )
14 = x + 3 ( subtract 3 from both sides )
11 = x
Then
RS = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°
