Answer:
m∠R = 123°
m∠S = 91°
Step-by-step explanation:
The measure of an inscribed angle is 1/2 the measure of the intercepted arc
m of arc QRS = 2 m∠P = 2(57) = 114
Now m of arc SPQ = 360 - 114 = 246
So, m∠R = 1/2(246) = 123
m of arc RSP = 2 m∠Q = 2(89) = 178
m of arc PQR = 360 - 178 = 182
m∠S = 1/2(182) = 91
8x+15 = 2x+39
8x =2x+24
6x = 24
x = 24/6 = 4
angle 4 = 2(4) +39 = 8+39 = 47
angle 6 = angle 4
angle 6 = 47 degrees
Answer:
Okay, but doesn't this bring any trouble reading?