If interior angle of quadrilateral is ABCD that their ratio is ,Angle A and B = 1:2 and angle B and C = 2:3 and angle C and D = 3:4 find the value of each angle ??
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A:B = 1:2
so, A/B = 1/2
A = B/2 ...........................(1)
Similarly C = 3B/2 .....................(2)
and , D = 4C/3
so, D = 2B ........................(3)
But ∠A + ∠B + ∠C + ∠D = 360°
By (1),(2) and (3)
B/2 + B + 3B/2 +2B = 360°
so, 10B = 720
so, B = 72
So, ∠A = 36°,
∠B= 72°
∠C = 108°
∠D = 144
so, A/B = 1/2
A = B/2 ...........................(1)
Similarly C = 3B/2 .....................(2)
and , D = 4C/3
so, D = 2B ........................(3)
But ∠A + ∠B + ∠C + ∠D = 360°
By (1),(2) and (3)
B/2 + B + 3B/2 +2B = 360°
so, 10B = 720
so, B = 72
So, ∠A = 36°,
∠B= 72°
∠C = 108°
∠D = 144
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