In the figure, if O is the centre of the circle and ∠CBA = 35°, find the value of x.

Please find below the solution to the asked query:

Given : O is the centre of the circle and $\angle$ CBA = 35$°$ ,  And we know angle in semicircle is at 90$°$ , So

$\angle$ BCA = 90$°$ , Now we apply angle sum property in triangle ABC and get

$\angle$ CBA +  $\angle$ BCA  + $\angle$  BAC = 180$°$ , Substitute all values we get

35$°$ + 90$°$  +  x  =  180$°$  ,

125$°$ +  x  =  180$°$  ,

x  =  55$°$                                                                                  ( Ans )

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