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x =y = 88 is correct answer
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Since ∆ABC is isosceles triangle
therfore angle opposite to congureny side are congurent.
therfore,
Angle B = x
so, in ∆ABC BY ANGLE SUM PROPERTY OF TRIANGLES
angle A + angle B + angle C = 180
x + x + 84° = 180°
2x = 180° - 84°
2x = 96°
x = angle B = 48° ... eqn 1
and
So, in ∆ABD
by Angle summ property of triangle
84° + Angle B + angle D = 180°
84° + 48 + angle D = 180°.... by eqn 1
132° + angle D = 180°
First answer is wrong both angle will 48°
angle y or angle D = 180° - 132°
y = 48°
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