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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