Question

In a triangle ABC if 2angle A = 3angle B. = 6 angle C calculate angleA B and C

Answer 1

HEY BUDDY..!!!

HERE'S THE ANSWER...

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▶️ There is a trick to solve this kind of questions

✔️ [ let the given data equal to a constant , say k ]

⏺️ 2 A = 3 B = 6 C = K

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⏺️ K = 2A

=> A = K / 2

⏺️ K = 3 B

=> B = K / 3

⏺️ K = 6 C

=> C = K / 6

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▶️ Now using Angle Sum Property ( A.S.M. ) , i.e

✔️ A + B + C = 180°

⏺️ Now by putting value

=> A + B + C = 180°

=> K / 2 + K / 3 + K / 6 = 180°

⏺️ As L.C.M is 6

=> ( 3 K + 2 K + K ) / 6 = 180°

=> 6 K / 6 = 180°

=> K = 180°


▶️ Now by putting the value of K

✔️ A = K / 2 = 180 / 2 = [ 90° ]

✔️ B = K / 3 = 180 / 3 = [ 60° ]

✔️ C = K / 6 = 180 / 6 = [ 30° ]

HOPE HELPED..

JAI HIND..

:-)