SOLUTION: 18. It is possible for the interior angles of a regular polygon to measure 145°. true false 19. Calculate the measure for each exterior angle of a regular nonagon. 20°

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Question 148652: 18. It is possible for the interior angles of a regular polygon to measure 145°.
true
false
19. Calculate the measure for each exterior angle of a regular nonagon.
20°
40°
140°
1260°
20. Calculate the measure for each interior angle of a regular 15-gon.
12°
24°
156°
2340°

Answer by Alan3354(69443) About Me  (Show Source):
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18. It is possible for the interior angles of a regular polygon to measure 145°.
true
false
-------------
False - 145 has a factor of 29.
Interior angles for n-sides = ((n-2)*180)/n
It's not possible to have a factor of 29 for integer values of n.
-----------------
19. Calculate the measure for each exterior angle of a regular nonagon.
20°
40°
140°
1260°
---------
(9-2)*180/9 = 140
---------------
20. Calculate the measure for each interior angle of a regular 15-gon.
12°
24°
156°
2340°
-------
(15-2)*180/15 = 156