The measure of angle C in degrees is 42.8°.
The law of sines formula, which is the ratio of a side's length to the sine of the angle produced by the other two sides of the triangle, is used to obtain angle C. It is provided by,
sinA / a = sinB / b = sinC / c
In this case, the triangle's lengths are a, b, and c, and its angles are A, B, and C.
Given ∠A = 61°, c = 35, a = 45
Hence ( sinA)/a = (sinC)/c
(sin 61° )/ 45 = (sin C) / 35
sin c = ((sin 61°) / 45) × 35
sin c = 0.68
c ≈ 42.8°
Therefore, the measure of angle C in degrees is 42.8°.
The probable question may be:
"Find C in degrees"
The attached may be the diagram of the question.