Question

In the given figure, two chords AB and CD of
a circle with centre O, with centre O are such that OP and OQ the perpendicular from centre to the chords are equal,
show that AB parallel to CD​

Answer 1

WE ASSUME THAT AB IS PARALLEL TO CD.

AND PQ IS THE TRANSVERSAL

<APQ+<QPA=180

THERE FORE AB IS PARALLEL TO CD .

or

as the sum is 180 we can directly say that they are parallel to each other

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