Answer:
see explanation
Step-by-step explanation:
The secant- secant angle PRS is half the measure of the difference of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] (PD - QS) = 50 ( multiply both sides by 2 )
PD - QS = 100, that is
12x + 8 - (4x + 4) = 100
12x + 8 - 4x - 4 = 100
8x + 4 = 100 ( subtract 4 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Thus
arc PD = 12(12) + 8 = 144 + 8 = 152°
arc QS = 4(12) + 4 = 48 + 4 = 52°
