Step 1:
Find the value of x
Using secant theorem
[tex]<\text{PQR =}\frac{1}{2}\text{ }\timesStep 2:
If x = 9
Then 6x+2 = 6(9) + 2 = 54+2 = 56 degrees
The measure of arc PQ = 14(9) - 14 = 126 - 14 = 112 degrees
Step 3:
The total angle in a circumference is 360 degrees
Therefore ,
mPQ + mPSQ = 360
mPSQ = 360 - mPQ
mPSQ= 360 - 112 = 248degrees
The answer is option B