Posted by Anonymous on Thursday, December 22, 2011 at 12:07pm.
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?

Geometry  Steve, Thursday, December 22, 2011 at 4:02pm
The interior angles of a quadrilateral total to 180(42) = 360 degrees.
So, yes, they will exactly fit around a point.
However, for a pentagon, the angles total to 180(52) = 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.
Answer This Question
Related Questions
 Math  In euclidean geometry, the sum of the measures of the interior angles of ...
 Geometry  If one of the interior angles of a pentagon has a measure of 48 ...
 Geometry  In Euclidean geometry, the sum of the measures of the interior ...
 Math  The sum of the degrees of the interior angles of a triangle is _____ ...
 math  find the sum of the measures of the intieior angles of each polygon. ...
 math  1. Which angles are adjacent angles? (1 point) ∠GBM and ∠FBC...
 geometry  Three of the exterior angles of an nsided polygon are 50 degrees ...
 Geometry  What is the sum of the measures of the interior angles of a convex ...
 geometry  the measures of the interior angles of a pentagon are 2x, 6x, 4x6, ...
 math  A transversal intersects two parallel lines and forms eight angles. Which...
More Related Questions