Q. 144.3( 4 Votes )

In Fig. 16.186, O is the centre of the circle. If CEA=30°, find the values of x, y and z.


Answer :

We have,

AEC = 30o


Since, quadrilateral ABCE is a cyclic quadrilateral


Then,


BAC + AEC = 180o


x + 30o= 180o


x = 150o


By degree measure theorem,


AOC = 2 AEC


y = 2 * 30o


= 60o


Therefore,


ADC = AEC (Angles in same segment)


z = 30o


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