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Given that ,ABD= 104°
BCD= 65°
BAD= 3 DBA
BD is perpendicular to AC
So that ,BDA + BDC= 180°
104° + BDC= 180°
=>BDC = 180°-104°= 76°
=>BDC= 76°
In triangle BDC, Sum of three angles is 180°
BDC + BCD + DBC = 180°
76°+65°+DBC = 180°
DBC = 180°-76°-65°
=> DBC = 39°
From the question, it is given that
BAD= 3DBA
Let BAD = x
then x = 3x
According to angle sum property of ABC triangle,
BAD + ACB + ABC = 180
= > 3X + 65 + DBA + DBC = 180
= > 3X + 65 + X + 39 = 180
=> 4X + 104 = 180
=> X = 76/4
=> X = 19°( BAD)
=> 3X = 19×3= 57°(DBA)
Hope it will help you ✌️
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