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A student claims that if one of the interior angles of a parallelogram is 30, then it cannot be inscribed in a circle. Do you agree with him? Explain.

Mathematics
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We start with assuming that the parallelogram is inscribed in a circle. |dw:1358656384414:dw| Assume this to be a parallelogram ABCD
yes
|dw:1358656432945:dw| Now angle A= angle C

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Other answers:

why they are equal?
A= C ( opposite angles of a parallelogram are equal)
isn't that A+C=180?
ohhh. parallelogram .... nothing then continue please
For a cyclic quadrilateral opposite angles sum should be 180, we have to satisfy this property also
ok...
so we have to have \[A=C=90\] this makes the parallelogram a rectangle, so any parallelogram which is inscribed in a circle is a rectangle
and then>
Therefore a parallelogram with one angle 30 can't be inscribed
ok...how about one angle is 150 degrees? the opp. angle can be 30
But opposite angles of a parallelogram are equal,
ohhh yes..
thank you so much
Welcome :D

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