Mathematics

Two supplementary angles are in the ratio $$4:5$$. Find the angles.


ANSWER

$$80^o, 100^o$$


SOLUTION
$$Supplementary\quad angles\quad add\quad up\quad to\quad form\\ Two\quad angles\quad are\quad in\quad ratio\quad 4:5(given)\\ Let\quad one\quad angle\quad be\quad 4x\quad and\quad other\quad be\quad 5x\\ Hene\quad 4x\quad +\quad 5x\quad =180(supplementary\quad angles)\\ \Longrightarrow 9x\quad =\quad 180\\ \Longrightarrow x=\frac { 180 }{ 9 } =20\\ Hence\quad two\quad angles\quad are\\ 4x\quad =\quad 4\times 20\quad =\quad 80\\ 5x\quad =\quad 5\times 20\quad =100$$\\ 
Hence two angles are 
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