Find measure c round to the nearest degree 8 7 13

Work Shown:

Use the law of cosines. Plug in the given values and solve for angle C.

c^2 = a^2 + b^2 - 2*a*b*cos(C)

8^2 = 7^2 + 13^2 - 2*7*13*cos(C)

64 = 218 - 182cos(C)

218 - 182cos(C) = 64

-182cos(C) = 64-218

-182cos(C) = -154

cos(C) =  -154/(-182)

cos(C) = 11/13

C = arccos(11/13)

C = 32.204227503972

When rounding to the nearest whole number, we get roughly 32 degrees.

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step-by-step explanation: