Question

In triangle ABC, angle A = angle b/2= angle c/6. Find the measure of angle A​

Answer 1

A=B/2...............1

A=C/6.................2

FROM 1 & 2,

WE GET B/2=C/6

I.E. B=C/3...................3

ALSO WE KNOW THAT A+B+C=180

PUT A=C/6 AND B=C/3, WE GET

C/6+C/3+C=180

I.E. C+2C+6C=1080

I.E. 9C =1080

C=120

PUT IN 2, WE GET A=120/6=20

PUT IN 3, WE GET B=120/3=40