Q. 175.0( 2 Votes )

# In Fig. 16.188, ABCD is a cyclic quadrilateral. Find the value of x.

FDC + CDA = 180o (Linear pair)

80o + CDA = 180o

CDA = 100o

Since, ABCD is a cyclic quadrilateral

ADC + ABC = 180o

100o + ABC = 180o

ABC = 80o

Now,

ABC + ABF = 180o (Linear pair)

80o + x = 180o

x = 180o – 80o

= 100o

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