Question

I'm stuck: 20 POINTS AND BRAINLIEST!

Answer 1

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

$\frac{1}{2}$ (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°