The 2 angles are supplementary or add up to 180°, so we can equate it as:

(20x+ 5 ) +  (24x - 1) = 180

now solve for x,

(20x+ 5 ) +  (24x - 1) = 180

44x + 4 = 180

44x = 180 - 4

44x = 176

x = 176/44

x = 4

now solve for ∠C,

∠C = 20x + 5

∠C = 20(4) + 5

∠C = 80 + 5

∠C = 85°

Hence the answer is letter a. 85°

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