Question

If two complementary angles are 3x+10x and 7x-20 then find measures of the angles

Answer 1

$$\begin{gathered} \mathrm{As}\mathrm{we}\mathrm{know}\mathrm{that}\mathrm{sum}\mathrm{of}\mathrm{two}\mathrm{complementary}\mathrm{angles}\mathrm{is}90\mathrm{degree}\mathrm{so}, \\ 3\mathrm{x}+10+7\mathrm{x}-20=90 \\ 10\mathrm{x}-10=90 \\ 10\mathrm{x}=100 \\ \mathrm{x}=\frac{100}{10}=10 \\ \mathrm{So}\mathrm{angles}\mathrm{are}3\mathrm{x}+10=3\times 10+10=40\mathrm{degree} \\ \mathrm{and}7\mathrm{x}-20=7\times 10-20=50\mathrm{degree}. \end{gathered}$$