Question

Find the unknown angle.

Answer 1

We have,

$x+{80}^o+{100}^o+{40}^o={360}^o\left(Verticaloppsiteangle\right)$

$x={360}^o-{220}^o$

$x={140}^o$

Now,

$x+y={180}^o\left(LinearPair\right)$

$\Rightarrow {140}^o+y={180}^o$

$\Rightarrow y={180}^o-{140}^o$

$\Rightarrow y={40}^o$

Hence, this is the answer.