Question

If in a triangle,angles 2A=3B=6C then find B.

Answer 1

2A=3B
or, A/B=3/2
or, A:B=3:2

Similarly,
3B=6C
or, B/C=6/3=2/1
or, B:C=2:1

Therefore,
A:B:C=3:2:1

Since the sum of angles in a triangle is equal to 180 degrees.

Angle A = (3/(3+2+1))x180) = (3/6)x180= 90 degrees

Angle B = (2/(3+2+1))x180) = (2/6)x180= 60 degrees

Angle A = (1/(3+2+1))x180) = (1/6)x180= 30 degrees