Question Number 46297 by pieroo last updated on 23/Oct/18
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{which}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{one}-\mathrm{eighth} \\ $$$$\mathrm{of}\:\mathrm{its}\:\mathrm{supplement}. \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 23/Oct/18
$${x}+{y}=\mathrm{180}^{{o}} \\ $$$${x}=\frac{{y}}{\mathrm{8}} \\ $$$$\frac{{y}}{\mathrm{8}}+{y}=\mathrm{180}^{{o}} \: \\ $$$$\frac{\mathrm{9}{y}}{\mathrm{8}}=\mathrm{180}^{{o}} \:\:\:{y}=\mathrm{160}^{{o}} \:\:\:\:{x}=\mathrm{20}^{{o}} \\ $$