Asked by Anonymous
I don't undestand this question in my geometry textbook. Could nayone explain it to me?
Can you fit all of the interior angles of a quadrilateral around a point without overlap? What about the interior angles of a pentagon?
Can you fit all of the interior angles of a quadrilateral around a point without overlap? What about the interior angles of a pentagon?
Answers
Answered by
Steve
The interior angles of a quadrilateral total to 180(4-2) = 360 degrees.
So, yes, they will exactly fit around a point.
However, for a pentagon, the angles total to 180(5-2) = 540 degrees, so there's no way you can draw all five angles around a point. There are only 360 degrees in a complete circle.
So, yes, they will exactly fit around a point.
However, for a pentagon, the angles total to 180(5-2) = 540 degrees, so there's no way you can draw all five angles around a point. There are only 360 degrees in a complete circle.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.