Question

The angle ABC, if 3angle A=4 angleB=6AngleC, calculate angle A, B, C​

Answer 1

3 angleA=4 angleB

angleA=4/3 angleB________ eq 1

4 angleB=6 angleC

angleC=2/3 angleB________ eq 2

Now,

angleA+angleB+angleC=180

(Angle sum property of a triangle)

Putting value of angleA and angleC from equation 1 and 2 respectively,

4/3angleB+angleB+2/3angleB=180

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

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

angleB(9/3)=180

angleB×3=180

angleB=60

angleA=4/3×60

angleA=80

angleC=2/3×60

angleC=40