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ANSWER

B. 310°

EXPLANATION

The sum of angles in a circle is 360°

From the diagram, the measure of arc SY is 50°

The measure of arc STY plus the measure of arc SY is 360°

To find the measure of arc STY, we subtract 50° from 360° to get:

Measure of arc STY

[tex] = 360 \degree - 50 \degree[/tex]

This simplifies to

[tex]310 \degree[/tex]The correct answer is B 310°

imlittlestar

Answer:

The correct answer is option B.  310°

Step-by-step explanation:

From the figure we can see that, a circle with center o.

And an arc SY with central angle 50°

To find the measure of arc STY

From the figure we can write,

arc SY + arc STY = 360

measure of arc STY = 360 - measure of arc SY

 = 360 - 50 - 310°

Therefore the  correct answer is option B.  310°

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