Question

If the angles of a triangle are in aratic 1:2:3 then find the measure of an angle of the triangle​

Answer 1

$Sum\ of\ angles\ of\ a\ triangle\ is\ 180 \ degree \\ \\Given\ angles\ of\ a\ triangle\ are\ in\ ratio\ 1\ :\ 2\ :\ 3.\\\\Let\ us\ consider\ the\ angles\ as\ x\ , 2\ x\ and\ 3\ x\ respectively.\\\\Hence\,\\\\\\ x\ +\ 2\ x\ +\ 3\ x\ =\ 180\ degree\\ \\\ =\ 6\ x\ =\ 180\ degree \\\\So\ , \x\ =\ 30\ degree \\ \\Hence\ other\ angles\ are\ 2\ x\ = \ 60\ degree\ and\ 3\ x\ =\ 90\ degree$

Hope it helps you