Question

Use the following figure to find the value of x.

Answer 1

The sum of exterior angles of a quadrilateral

$\Rightarrow y+{80}^o+{60}^o+{90}^o={360}^o\Rightarrow y+{230}^o={360}^o\Rightarrow y={360}^o-{230}^o={130}^o$

At vertex A,

$\angle y+\angle x={180}^o\left(Linearpair\right)x={180}^o-{130}^o\Rightarrow x={50}^o$