Question

Solve the following :
Find the values of $x$ and $y$ in the following kite.

Answer 1

The given figure is of a kite.

So, their one pair of opposite angles will be equal, that is non vertex angles

$y,{110}^o$ are non vertex angles while $x,{60}^o$ are vertex angles

$\Rightarrow y={110}^{\circ }$

From sum properties of quadrilateral

${110}^{\circ }+{60}^{\circ }+y+x={360}^{\circ }$

$\Rightarrow {110}^{\circ }+{60}^{\circ }+{110}^{\circ }+x={360}^{\circ }$

$\Rightarrow x={360}^{\circ }-{280}^{\circ }={80}^{\circ }$