Question

the triangle ABC if two angle A is equal to 3 angle b is equal to 6 angle C find Angle A Angle B and angle C​

Answer 1

Answer:

let x is equal to 2 angle A equal to 3 Angle B equal to 6 angle C x is equal to angle X by 2 equal to angle equation 2 x 3 angle B.Sc 3 equal to Angle B equation 3 X equal to 6 angle 3.6 equal to angle C is equal 4 substitute equation 2 3 4 linear equation 1 X by 2 + 63 + 6 by 6 equal to 180 LCM equal to 6 3 X + 2 X + X + 6 equal to 196 equal to 180 in 2666 equal to 1080 X is equal to 180 its equation V substituting equation V in equation two three four angles are equal to X by 2 equal to 90 Angle B equal to X 360 angle c equal to X + 6 equal to 30 the equation the equation 1 is equal to three equal to angle C and angle property

Answer 2

(click the above picture for diagram)

let a, b and c be the measure of the angles A, B and C

given that in ∆ABC

a = 3b = 6c

so,

$b = \frac{a}{3} \: and \: c = \frac{a}{6}$

We know that, in a triangle, sum of its angles is 180°

So,

$a + b + c = 180 \\ a + \frac{a}{3} + \frac{6}{a} = 180 \\ \\ multiplying \: throughout \: by \: 6 \\ \\6a + 2a + a = 1080 \\ 9a = 1080 \\ a = 120 \\ b = \frac{a}{3} = \frac{120}{3} = 40 \\ c = \frac{a}{6} = \frac{120}{6} = 20$

i.e. angle A = 120°

i.e. angle B = 40°

i.e. angle C = 20°