Question

What is the sum of x, y and z in the figure above? (in degrees)

Answer 1

We know that sum of interior angles of hexagon is ${720}^o$

$\therefore$ $x^o+y^o+z^o+{90}^o+{110}^o+{110}^o={720}^o$

$\Rightarrow$ $x^o+y^o+z^o+{310}^o={720}^o$

$\Rightarrow$ $x^o+y^o+z^o={720}^o-{310}^o$

$\Rightarrow$ $x^o+y^o+z^o={410}^o$

$\therefore$ The sum of $x,y$ and $z$ is ${410}^o$.