Question

$\text{The following figure is a rectanle in which x : y = 3 : 7; find the values of x and y.}$

Answer 1

$\text{ABCD is a rectangle,}x:y=3:7In\Delta BCE,\angle B={90}^{\circ }\therefore x+y={90}^{\circ }Butx:y=3:7\text{Sum of ratios}=3+7=10\therefore x=\frac{{90}^{\circ }\times 3}{10}={27}^{\circ }andy=\frac{{90}^{\circ }\times 7}{10}={63}^{\circ }Hencex={27}^{\circ },y={63}^{\circ }$