Use the circle below to find the following measures.
Arc QT = and

Answer:
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°