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(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.

## Answer this Question

## Related Questions

- Geometry - 8th grade - Well, I am trying to get geometry polygons and angles, ...
- Math - In euclidean geometry, the sum of the measures of the interior angles of ...
- Geometry - Suppose that a given quadrilateral is a kite with no right angles. ...
- math - 1. Which angles are adjacent angles? (1 point) ∠GBM and ∠FBC...
- Geometry - Suppose both pairs of opposite sides of a quadrilateral are parallel...
- Geometry - How can you determine, without measuring any angles, weather a ...
- Math - The sum of the degrees of the interior angles of a triangle is _____ ...
- Geometry - In Euclidean geometry, the sum of the measures of the interior ...
- geometry - bulletin board border please help me. i would like to make a geometry...
- math - find the sum of the measures of the intieior angles of each polygon. -...

More Related Questions