I'm stuck: 20 POINTS AND BRAINLIEST! I'm really stuck on this question. Find the value of the missing value and find x.

see explanation

Step-by-step explanation:

The secant- secant angle PRS is half the measure of the difference of the intercepted arcs, that is

(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°

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

c

step-by-step explanation: