Question

In the following figures GUNS and RUNS are parallelograms. Find x and y.

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right) \\ \mathrm{Opposite}\mathrm{sides}\mathrm{are}\mathrm{equal}\mathrm{in}\mathrm{a}\mathrm{parallelogram}. \\ \therefore 3\mathrm{y}-1=26 \\ 3\mathrm{y}=27 \\ \mathrm{y}=9 \\ \mathrm{Similarly},3\mathrm{x}=18 \\ \mathrm{x}=6 \\ \left(\mathrm{ii}\right) \\ \mathrm{Diagonals}\mathrm{bisect}\mathrm{each}\mathrm{other}\mathrm{in}\mathrm{a}\mathrm{parallelogram}. \\ \therefore \mathrm{y}-7=20 \\ \mathrm{y}=27 \\ \mathrm{x}-\mathrm{y}=16 \\ \mathrm{x}-27=16 \\ \mathrm{x}=43 \end{gathered}$$