Answer:
D. <F = 65 degrees
Step-by-step explanation:
First off, we know that the measures of <F and the angle adjacent to it add to 90 degrees, as indicated by the right angle. They are complementary angles.
The complementary angle of <F has an intercepted arc of 50 degrees. Because the angle is on the opposite end of the circle, it is half of the measure of the arc. Therefore, it is 25 degrees.
Because this angle and <F sum to 90, just subtract 90-25 to find <F.
<F = 65 degrees