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2x + 3x = 180 => 5x = 180
x= 36
4y + 5y = 180 => 9y = 180
y= 20
Since the ratios of co-efficients of x and the angles are same, then
∠A = 2 x 36 = 72
∠D = 3 x 36 = 108
likewise, ∠B = 4 x 20 = 80
and ∠C = 5 x 20 = 100
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