Question

In gtriangle ABC, if 3anglA=4angleB=6anglec calculate angleA,angleB,AngleC

Answer 1

3 AngleA=4angleB
angleA=4/3angle B --(1)
||Ly 6angleC=4angle B angleC=4/6AngleB
angleC=2/3angleB---(2)

in triangleABC
angleA+angleB+angleC=180°
from (1)&(2)
4/3angleB+angleB+2/3angleB=180°
4angleB+3angleB+2 angleB/3=180°
9angleB/3=180°
3angleB=180°
angle B=180°/3
=60°
angleA=4/3angleB
=4/3*60°
=4*20°
=80°
angleC=2/3*angleB
=2/3*60°
=2*20°
=40°