∠ADB + ∠BDC = ∠ADC
39° + (3x - 4) = 8x + 5
3x - 4 = 8x + 5 - 39
3x - 4 = 8x - 34
34 - 4 = 8x - 3x
5x = 30
x = 6
∠ADC = 39° + (3(6) - 4) = 39 + 14 = 53°
Hope it helps!
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