Question

if 2 angle a = 3 angle c= 6 angle c .then find angle a ,b,c

Answer 1

2 /_ A = 3 /_ B = 6 /_ C

Let 2 /_ A = 3/_ B = 6/_ C = X° . Then,

/_ A = ( X/2)° , /_ B = ( X/3)° and /_ C = (X/6)°

Therefore,

X/2 + X/3 + X/6 = 180 [ Since /_ A + /_ B + /_ C = 180° ]

3X + 2X + X = 1080

6X = 1080

X = 1080/6

X = 180°.


__________________________

/_ A = ( X/2)° = (180/2) = 90°

/_ B = ( X/3)° = (180°/3) = 60°

and,

/_ C = (X/6)° = (180/6)° = 30°