Question

the largest angle of a triangle is 6 times the smallest angle and it is 3 times the other angle. find the measure of the smallest angle.

Answer 1

`x-\ the\ smallest\ angle\\\\ 6x- \ larger\ angle\\\\ 2x- \ other\ angle\\\\ Sum\ of\ angles\ in\ triangle\ is\ equal\ to\ 180^(\circ)\\\\ x+6x+3x=180^(\circ)\\ 9x=180^(\circ)\ \ |Divide\ by\ 9\\\\ x=20^(\circ)\\\\the\ smallest\ angle\ is\ equal\ to\ 20^(\circ).`