I'm trying to find the value of $x$. For that, I need to get some help. Let's call $\angle A = 2\beta $, $\angle B = \alpha$ and $\angle C = 60$ We know that
$$\triangle ABC = 180 $$
$$\angle A +\angle B +\angle C = 180$$
Hence we have
$$\beta + \alpha = 60$$
My apologies if I'm wrong. Can you explain how to proceed?