The question in the image

Answer : x=30°

Step-by-step explanation:

m(arc QT) = 142°

m(arc STR) = 314°

Step-by-step explanation:

"Measure of intercepted arc is double of the inscribed angle"

From the picture attached,

Measure of inscribed angle QST = 71°

Therefore, measure of arc QT = 2 × Measure of angle QST

                                                  = 2(71°)

                                                  = 142°

Since, m(arc SR) + m(arc STR) = 360°

46° + m(arc STR) = 360°

m(arc STR) = 360° - 46°

                  = 314°