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


BAC + AEC = 180o

x + 30o= 180o

x = 150o

By degree measure theorem,


y = 2 * 30o

= 60o


ADC = AEC (Angles in same segment)

z = 30o

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