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यदि चतुर्भुज के अन्तः कोण A, B, C और D इस प्रकार हों कि इनके अनुपात ∠A : ∠B = 1 : 2, ∠B : C = 2 : 3, 4C : ∠D = 3 : 4, तो प्रत्येक कोण का मान ज्ञात कीजिए।

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∠ A : ∠ B = 1 : 2, 2 B : ∠C = 2: 3, ∠C: ∠ D = 3:4

∠ A : ∠ B : ∠C: ∠ D = 1:2: 3:4

आनुपातिक योग = 1 + 2 + 3 + 4 = 10

∵ चतुर्भुज के चारों अन्तः कोणों का योग 360° होता है।

∴ ∠A = 1x360°/10 = 36°

∴ ∠B = 1x360°/10 = 72°

∴ ∠C = 1x360°/10 = 108°

∴ ∠D = 1x360°/10 = 144°

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