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Question

In a cyclic quadrilateral ABCD, if AB||CD and B=70, find the remaining angles.


Solution

In a cyclic quadrilateral ABCD, AB || CD and B=70

ABCD is a cyclic quadrilateral,

B+D=180

70+D=180

D=18070=110

AB||CD

A+D=180     (Sum of cointerior angles)

A+110=180

A=180110=70

Similarly, B+C=180

70+C=180

C=18070=110

A=70, C=110, D=110


Mathematics
RD Sharma
Standard IX

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