angles in pentagons

May 2010
3
0
hey!

1. this diagram (the one attached) shows a regular pentagon divided into a quadrilateral. calcualte the angles in each of these triangles and the quadrilateral.

thnx a bunch
Joyousness
 

Attachments

Jun 2009
806
275
The total angles in a pentagon is given by (5 - 2)π.

So each angle is 108 degrees.
Angle MLK = 108 degrees

Angle MNJ = 108 degrees

MN = NJ. So angle NMJ = angle NJM = 36 degrees

LMOK is a rhombus.

Now find the remaining angles.