Applying the cosine ratio, the measure of angle C in the given image, to the nearest whole degree, is: 77°.
The cosine ratio is given as, cos ∅ = adjacent side/hypotenuse side of a right triangle.
Using the cosine ratio, we have:
cos C = 2/9
C = cos^(-1)(2/9)
C ≈ 77 degrees.
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