Question

Question 162
Find the values of x and y in the following kite.

Answer 1

The given figure is a kite.
In a kite, one pair of opposite angles are equal.
$\therefore y={110}^{\circ }$
Now, by the angle sum property of a quadrilateral, we have
${110}^{\circ }+{60}^{\circ }+{110}^{\circ }+x={360}^{\circ }\Rightarrow x={360}^{\circ }-{280}^{\circ }\Rightarrow x={80}^{\circ }$