Geometry
posted 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?

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.
Respond to this Question
Similar Questions

math
find the sum of the measures of the intieior angles of each polygon. hexagon pentagon quadrilateral octagon 16gon 27gon The key is the sum of the measures. All of these figures have the same total number of degrees in their … 
math
A transversal intersects two parallel lines and forms eight angles. Which of the following statements is false? 
Geometry
What is the sum of the measures of the interior angles of a convex octagon? 
geometry
the measures of the interior angles of a pentagon are 2x, 6x, 4x6, 2x16 and 6x+2. What is the measure of the largest angle 
Geometry
In Euclidean geometry, the sum of the measures of the interior anglesof a pentagon is 540o. Predict how the sum of the measures of the interior angles of a pentagon would be different in spherical geometry. 
Math
In euclidean geometry, the sum of the measures of the interior angles of a pentagon is 540. predict how the sum of the interior angles of a pentagon would be different in spherical geometry 
Geometry
If one of the interior angles of a pentagon has a measure of 48 degrees, what is the average measure of the pentagon's other interior angles ? 
math
1. Which angles are adjacent angles? (1 point) ∠GBM and ∠FBC ∠CBX and ∠FBC ∠XBG and ∠FBC ∠MBY and ∠FBC 2. The measure of ∠3 is 101°. Find the measure of ∠1. (1 point) 101° 
Math
The sum of the degrees of the interior angles of a triangle is _____ degrees What is the sum of the interior angles of a parallelogram ? 
geometry
Three of the exterior angles of an nsided polygon are 50 degrees each, two of its interior angles are 127 degrees and 135 degrees, and the remaining interior angles are 173 degrees each. Find the value of n.