SOLUTION: It is possible for the exterior angles of a regular polygon to measure 30 degrees. True or False? It is possible for the interior angles of a regular polygon to measure 145 deg

Algebra.Com
Question 202468: It is possible for the exterior angles of a regular polygon to measure 30 degrees.
True or False?
It is possible for the interior angles of a regular polygon to measure 145 degrees.
True or False?
Calculate the measure for each exterior angle of a regular nonagon.
Answers: 20 degrees, 40 degrees, 140 degrees, 1260 degrees.
calculate the measure for each interior angle of a regular 15-gon.
Ansers: 12 degrees, 24 degrees, 156 degrees, 2340 degrees.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
It is possible for the exterior angles of a regular polygon to measure 30 degrees.
True or False?
True if the polygon has 12 sides.
------------------------------------------------
It is possible for the interior angles of a regular polygon to measure 145 degrees.
True or False?
False because 360/145 is not a whole number.
-------------------------------------------------
Calculate the measure for each exterior angle of a regular nonagon.
360/9 = 40 degrees
Answers: 20 degrees, 40 degrees, 140 degrees, 1260 degrees.
-------------------------------------------------------
calculate the measure for each interior angle of a regular 15-gon.
Each EXTERIOR angle is 360/15 = 24 degrees
So each INTERIOR angle is 180-24 = 156 degrees
Ansers: 12 degrees, 24 degrees, 156 degrees, 2340 degrees.
=================================================================
Cheers,
Stan H.

RELATED QUESTIONS

It is possible for the exterior angles of a regular polygon to measure 30° true or... (answered by Alan3354)
It is possible for the exterior angles of a regular polygon to measure 30? True or... (answered by solver91311)
It is possible for the exterior angles of a regular polygon to measure 30°. (answered by Alan3354)
It is possible for the exterior angles of a regular polygon to measure... (answered by stanbon)
It is possible for the interior angles of a regular polygon to measure 145°. True or... (answered by nyc_function)
True or False is it possible for each exterior angle of a regular polygon to be 8... (answered by Edwin McCravy,Theo)
18. It is possible for the interior angles of a regular polygon to measure 145°. true (answered by Alan3354)
Question 1~ It is possible fot the interior ang;es of a regular polygon to measure 145 (answered by venugopalramana)
Is it possible for the interior angles of a regular polygon to equal 145... (answered by Targetweek)