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Question

In the figure, O is the centre of the circle. If CEA=30o, find the values of x, y and z.


Solution

AEC and ADC are in the same segment .

AEC=ADC=30o

z=30o

ABCD is a cyclic quadrilateral.

B+D=180o

x+z=180o

x+30o=180ox=180o30o=150o

Arc AC subtends AOC at the centre and ADC at the remaining part of the circle.

AOC=2D=2×30o=60o

y=60o

Hence, x=150o, y=60o and z=30o


Mathematics
RD Sharma
Standard IX

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