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Question

ABCD is a parallelogram. A circle passes through A and D and cuts AB at E and DC at F. Given BEF=80, find ABC.

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A
100
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B
40
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C
80
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D
104
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Solution

The correct option is C 80
Given, ABCD is a parallelogram and AEFD is a cyclic quadrilateral.
BEF=80
Now, ADC=BEF=80 (Angle of a cyclic quadrilateral is equal to the opposite exterior angle )
Also, now in parallelogram ABCD,
ABC=ADC=80 (Opposite angles of a parallelogram are equal)

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