Help solving this GCSE question on angles/parallel lines/isoscelesh

Question

Problem:

$ABC$ is an isosceles triangle with angle $\angle ABC=52^\circ$.

$XY$ is parallel to $BC$.

Work out the size of angle $\angle BAC$.

Hi I need help solving this GCSE question under the topic 'angles in parallel lines'. The answer is $76$ but I don't know how you get that

Thanks

Jasmine

Answer 1

Here we assume $B=C$ so $52+52+x=180$ so $x=76$. Here $x=A$. But still i am not gettin why its given that $xy||BC$ whats its use.