Question

In a triangle ABC , if 2angle A = 3angleB =6angle C. determine angle A ?

Answer 1

Hy there,
Let 2angleA=3angleB=6angleC=x
Therefore,
AngleA=x/2
AngleB=x/3
AngleC=x/6
Thus by angle sum property,
x/2+x/3+x/6=180
3x+2x+x/6=180
6x/6=180
x=180
Putting the value of x in AngleA=x/2=180/2
=90
Hope it helps

Answer 2

Answer:

Let 2∠A=3∠B=6∠C=x

∠A=  x/2 ,∠B= x/3 ,∠C=   x/6

∠A+∠B+∠C=180Degree

x/2+x/3+x/6 = 180Degree

x=240Degree

∠A=120Degree

∠B=80Degree

∠C=40Degree

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