Explanation:
the graphic shows the markings that AB and AC are equally long.
that makes this an isoceles triangle (both legs are equally long).
that has the following consequences (among others) :
angle B = angle C = 47°
BD = DC = (BC)/2
y = (angle A)/2
AD is the height of the triangle, standing at a right angle on BC.
so, x = 90°.
for any triangle the sum of all 3 angles is always 180°.
so,
180 = 47 + x + y = 47 + 90 + y
43 = y
y = 43°