Question

in a triangle ABC if 3A=4B=6C.find angle A B AND C

Answer 1

A=x/3 B=x/4 c=x/6

A+B+C=180

x/3+x/4+x/6=180

9x/12=180

x=240

a=80 B=60 C=40

Answer 2

Hey there!

Let angle A be equal to x,

Now,
3A = 4B
3/4x = B

At the same time,
3A = 6C
3/6A = C
1/2x = C

We know that, According to angle sum property, Sum of angles in a triangle is equal to 180°

So,

A + B + C = 180°

x + 3/4x + 1/2x = 180

x ( 1 + 3/4 + 1/2 ) = 180

x ( 4 + 3 + 2 / 4 ) = 180

x ( 9/4) = 180

x = 20 * 4

x = 80 .

Now, Angle A = 80°
B = 3/4 ( 80 ) = 60°
C = 1/2 ( 80 ) = 40°

Therefore the Angles of a triangle are 80° ,60°, 40° respectively