Answer:
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Step-by-step explanation:
The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL. This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.
Find the lengths of FM and ML. Then, FM + ML = FL
<u>FM</u>
ΔFKM (45°-45°-90°): FK is the hypotenuse so FM =
<u>ML</u>
ΔLKM (30°-60°-90°): from ΔFKM, we know that KM =
, so KL =
<u>FM + ML = FL</u>

= 
The opposite angles of a cyclic quadrilateral add up to 180 degrees , so
2x + 3 + 4x + 3 = 180
6x = 180 - 6
6x = 174
x = 29
so m<C = 2(29) + 1 = 59 degrees