Question

If two adjacent angles of a parallelogram are (5 × ~5)° & (10 × 35)° , then the ratio of this angle is?

Answer 1

$$\begin{gathered} \mathrm{Assuming}\mathrm{the}\mathrm{angles}\mathrm{are} \\ \left(5\mathrm{x}-5\right)°\mathrm{and}\left(10\mathrm{x}+35\right)° \\ \mathrm{As}\mathrm{they}\mathrm{are}\mathrm{adjacent}\mathrm{angles} \\ \left(5\mathrm{x}-5\right)°+\left(10\mathrm{x}+35\right)°=180° \\ 15\mathrm{x}+30=180 \\ 15\mathrm{x}=150 \\ \mathrm{x}=\frac{150}{15}=10° \\ \mathrm{Ratio}\mathrm{of}\mathrm{angles}=\frac{\left(5\mathrm{x}-5\right)°}{\left(10\mathrm{x}+35\right)°}=\frac{5\left(10\right)-5}{10\left(10\right)+35} \\ =\frac{50-5}{100+35}=\frac{45}{135}=\frac{1}{3} \\ \mathrm{Ratio}\mathrm{of}\mathrm{angles}\mathrm{is}1:3. \end{gathered}$$