Question

In the following figures, $ABCD$ is a rhombus. Find the values of $x$ and $y$

• A. ${30}^{\circ },{30}^{\circ }$
• B. ${20}^{\circ },{30}^{\circ }$
• C. ${30}^{\circ },{20}^{\circ }$
• D. $Noneofthese$

Answer 1

Answer: (A)

${30}^{\circ },{30}^{\circ }$

In $△ABC$, sum of three angle = 180

angle DCA = angle CAB = x

angle BCA = angle CAD = y

for, rhombus ABCD sum of four angle = 360

$(x+y)+120+(x+y)+120=360$

$2x+2y=360-120-120$

$2x+2y=120$

$x+y=60$

only answer A is follow the equation $x+y=60$

so, the answer is A.