Find the number of sides of polygon if...? All the angle of a polygon are either #155^o# or #140^o#. There are twice as many angles of #155^o# as #140^o#.
1 Answer
May 26, 2017
Explanation:
The external angles of the polygon are each
So the external angles are a mixture of:
#180^@-155^@ = 25^@#
#180^@-140^@ = 40^@#
with twice as many
We can deduce that the number of angles and sides is a multiple of
#2*25^@+40^@ = 90^@#
external angles.
The external angles of the polygon add up to