What is the measure of angle RST?

m<RST

67 + 51 + x = 180

118 + x = 180

118 - 118 + x = 180 - 118

x = 62

m < RST = 62°

Step-by-step 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°

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