Q. 9 A5.0( 1 Vote )

Find the value of x in the following figures.


Answer :

Triangle AOC is a right angled triangle at O and sides AO = OC.


Hence OAC = OCA = y


As the sum of all angles = 180°


90 + 2y = 180


y = 45°


OAC = 45°


Similarly in triangle AOB


Sides AO = OB and hence


OBA = OAB = a


As sum of all angles of a triangle = 180°


120 + 2a = 180


a = 30°


In the figure,


BAC = CAO + BAO = 45 + 30 = 75°


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