Question

In ABC if 2angleA=3angleB=angleC equal to 3 angle b is equal to 6 angle C determine angle A ,B and ,C.

Answer 1

Heya !!




It seems something is wrong in your question.





Correct question : In a triangle ABC 2 Angle A = 3 Angle B = 6 Angle C . determine angle A , B and C.



Solution : Let 2 /_ A = 3 /_ B = 6/_ C = X°.



Then,




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




Therefore,



/_ A + /_ B + /_ C = 180° [ Sum of three angle of a triangle is always equal to 180° ]

X/2 + X/3 + X/6 = 180



=> 3X + 2X + X = 180 × 6



=> 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°.

Answer 2

Hey !

Let 2 /_ A = 3 /_ B = 6/_ C = X°.




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








angle A +angle B + angle C = 180°

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



3x + 2x + x = 180 × 6



6x = 1080



x = 1080/6



x = 180




angle A = 90°



angle B = 60°


and

angle C = 30°.