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 one year ago
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.
 one year ago
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.

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ash2326
 one year ago
Best ResponseYou've already chosen the best response.1We start with assuming that the parallelogram is inscribed in a circle. dw:1358656384414:dw Assume this to be a parallelogram ABCD

ash2326
 one year ago
Best ResponseYou've already chosen the best response.1dw:1358656432945:dw Now angle A= angle C

kryton1212
 one year ago
Best ResponseYou've already chosen the best response.1why they are equal?

ash2326
 one year ago
Best ResponseYou've already chosen the best response.1A= C ( opposite angles of a parallelogram are equal)

kryton1212
 one year ago
Best ResponseYou've already chosen the best response.1isn't that A+C=180?

kryton1212
 one year ago
Best ResponseYou've already chosen the best response.1ohhh. parallelogram .... nothing then continue please

ash2326
 one year ago
Best ResponseYou've already chosen the best response.1For a cyclic quadrilateral opposite angles sum should be 180, we have to satisfy this property also

ash2326
 one year ago
Best ResponseYou've already chosen the best response.1so 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

ash2326
 one year ago
Best ResponseYou've already chosen the best response.1Therefore a parallelogram with one angle 30 can't be inscribed

kryton1212
 one year ago
Best ResponseYou've already chosen the best response.1ok...how about one angle is 150 degrees? the opp. angle can be 30

ash2326
 one year ago
Best ResponseYou've already chosen the best response.1But opposite angles of a parallelogram are equal,
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