Question

In ABC, If 3angleA=4angleB=6angleC, calculate
angle A, angle B, angle C ​

Answer 1

Answer:

80° , 60° , 40°

Step-by-step explanation:

Given----> 3 ∠A = 4 ∠B = 6 ∠C

To find ---> ATQ,

3 ∠A = 4∠B = 6 ∠C = x ( Say )

=> 3 ∠A = x

=> ∠A = x / 3

Similarly,

∠ B = x / 4 and ∠C = x / 6

Now , we know that from anglesum property of triangle ,

∠ A + ∠ B + ∠ C = 180°

=> x / 3 + x / 4 + x / 6 = 180°

=> ( 4x + 3x + 2x ) / 12 = 180°

=> 9x / 12 = 180°

=> x = 180° × 12 / 9

=> x = 20 × 12

=> x = 240

Now, ∠A = x / 3

= 240 / 3

∠ A = 80°

∠ B = x / 4

= 240 / 4

∠ B = 60°

∠ C = x / 6

= 240 / 6

= 40°

Answer 2

Step-by-step explanation:

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