Question

Find angle A angle B and angle C of triangle ABC such that 3angle A=4angle B = 6 angle C​

Answer 1

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we have .

3 angle A = 4 angle B = 6 angle C

let 3 angle A = 4 Angle B = 6 angle C = 180°

therefore 3 angle A = K => angle A = K/3

4 Angle B = K => Angle B = K/4

6 angle C = K => angle C = K/6

=> K/3+K/4+K/6= 180 °

=> 4K + 3K + 2K == 180 °

12

=> 9K

12

=> K = 180° × 12 = 240°

9

angle A = K = 240° = 80°

3 3

Angle B = K = 240 ° = 60°

4 4

angle C = K = 240 ° = 40°

6 6

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Answer 2

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