Question

Segments RT and SU are diameters of circle O. What is m? 258° 266° 274° 282°

Answer 1

we know that

The minor arc ST is equal to the angle ∠SOT by central angle

∠SOT=∠ROU ------> by vertical angles

In this problem we have

∠ROU=$94\°$

substitute

∠SOT=$94\°$

so

minor arc ST=$94\°$

Find the major arc SRT

we know that

The major arc plus the minor arc is equal to $360\°$

minor arc ST+major arc RST=$360\°$

Solve for major arc RST

major arc RST=$360\°-94\°=266\°$

therefore

the answer is

$266\°$

Answer 2

Answer:

its 266

Step-by-step explanation: