Sides AB and AC are given as congruent.
That makes angles B and C congruent.
m<C = 47, so m<B = 47
m<B + m<C + m<BAC = 180
47 + 47 + m<BAC = 180
94 + m<BAC = 180
m<BAC = 86
m<BAD = (1/2)m<BAC = (1/2) * 86 = 43
y = 43
x + y + m<B = 180
x + 43 + 47 = 180
x + 90 = 180
x = 90