In a triangle ABC, `angleA = 90^@, angleC = 55^@`, AD is perpendicular to BC. What is the value of `angleBAD`?

Options

A. `35^(@)`
B. `60^(@)`
C. `45^(@)`
D. `55^(@)`

Answer

D

Explanation

`angleA+angleB+angleC=180^(@)`
`implies 90^(@)+angleB+55^(@)=180^(@)`
`implies angleB=180^(@)-145^(@)=35^(@)`
`therefore DeltaABD` में,
`angleB=35^(@),angleD=90^(@)`
`angleBAD=180^(@)-(90^(@)+35^(@))`
`=180^(@)-(125^(@))`
`=55^(@)`