Triangle ABC is an isosceles triangle because it has two sides of equal length, AB = AC
Since it's an isosceles triangle so <B = <C but given <C = 47° so <B = 47°
Sum of all interior angles in triangle ABC = 180°
so <A + <B + C = 180°
Given : y° = <A / 2 so <A = 2y°
Substitute <A = 2y°, <B = 47° and <C = 47° to find y°
2y° + 47 + 47 = 180
Combine like terms
2y° + 94 = 180
Subtract 94 from both sides
2y° = 86
Divide both sides by 2
y° = 43°
In triangle ABD,
<BAD + <B + <D = 180
43 + 47 + x = 180
Combine like terms
90 + x = 180
Subtract 90 from both sides
x = 90°
Answer
x = 90°
y = 43°