Math, asked by mpltips412, 1 day ago

angle abc equal to X of angle A equal to 3 x of Angle B = 6 time of angle C calculator Angle A Angle B and angle C​

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Answered by Equuleus
0

Alright, to solve this we'll use the angle sum property (sum of 3 angles in a triangle is always equal to 180*)

Given:

Lets say 2A = 3B = 6C = x

Now,

x = 2A

A = x/2          ...(1)

Also,

x = 3B

B = x/3          ...(2)

Also,

x = 6C

C = x/6          ...(3)

We know that A + B + C = 180

\frac{x}{2} + \frac{x}{3} + \frac{x}{6} = 180              (substituting from 1,2,3)

\frac{3x}{6} + \frac{2x}{6} + \frac{x}{6} = 180

\frac{3x+2x+x}{6} = 180

\frac{6x}{6} = 180

x = 180    ...(4)

Substituting (4) in (1), (2), (3):

A = 180/2 = 90

B = 180/3 = 60

C = 180/6 = 30

Thus, the values of the angles are

A = 90*, B = 60*, C = 30*

Hope this Helped!

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Answered by shikhacraft532
0

Answer:

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