Applying the inscribed angle theorem, the measure of angle BAC is: 110°.
What is the Inscribed Angle Theorem?
According to the inscribed angle theorem, the measure of angle BAC is half the measure of the intercepted arc, x + 50°.
x - 30 + x + 50 = 360
2x + 20 = 360
2x = 360 - 20
2x = 340
x = 170
m∠BAC = 1/2(x + 50)
Plug in the value of x
m∠BAC = 1/2(170 + 50)
m∠BAC = 110°
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