Segments rt and su are diameters of circle o. what is m? 258° 266° 274° 282°


Asked by maham237 @ in Mathematics viewed by 526 People


Answered by maham237 @



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\°


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