Question

The given figure is a rectangle in which $x:y=3:7$

Find angle $xandy.$

• A. $x={27}^{\circ }$ $y={63}^{\circ }$
• B. $x={63}^{\circ }$ $y={27}^{\circ }$
• C. $x={21}^{\circ }$ $y={69}^{\circ }$
• D. $x={65}^{\circ }$ $y={23}^{\circ }$

Answer 1

The correct option is A

$x={27}^{\circ }$

$y={63}^{\circ }$

ABCD is a rectangle

$x:y=3:7$

$In△ABC\angle B={90}^{\circ }$

$x+y={90}^{\circ }$

$\Rightarrow x:y=3:7$

$\Rightarrow SumofRatios=3+7=10$

$\Rightarrow x=\frac{{90}^{\circ }\times 3}{10}={27}^{\circ }$

$\Rightarrow y=\frac{{90}^{\circ }\times 7}{10}={63}^{\circ }$