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Step-by-step explanation:
AB = AD
hence, Angle ABD = x = 42°
in ∆ABD apply angle sum property of triangle
y + 42 + 42 = 180
y = 180 - 84
y = 96°
hence, Angle CBD = Angle CDB = z
apply angle sum property of ∆
52 + z + z = 180
2z + 52 = 180
2z = 180 - 52
2z = 128
z = 128/2 = 64
z = 64.
hope this answer helps you dear...take care!
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