Question

In Figure, find the measures of $\angle x$ and $\angle y$.

Answer 1

In triangle $ABC$,
$\Rightarrow$ ${45}^o+{60}^o+x={180}^o$
$\Rightarrow$ $x={180}^o-{105}^o$
$\Rightarrow$ $x={75}^o$
Now,
$\angle BAD=\angle ABC+\angle ACB$
$\Rightarrow$ $y={60}^o+x$
$\Rightarrow$ $y={60}^o+{75}^o$
$\Rightarrow$ $y={135}^o$
Therefore,
$x={75}^o$, and $y={135}^o$