Answer:
m<RST
67 + 51 + x = 180
118 + x = 180
118 - 118 + x = 180 - 118
x = 62
m < RST = 62°
Explanation:
1. since the intercepted arc of an inscribed angle is twice the measure of the inscribed angle, you can divide 102 by 2 to get < T
2. add angles T, R, and S together (represent < S by x) and set them equal to 180
3. subtract both sides by 118
4. angle S is 62°