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  • 08-05-2019
  • Mathematics
contestada

A regular polygon could not have an interior angle measure of _____.

A.

45º
B.

90º
C.

150º
D.

160º

A regular polygon could not have an interior angle measure of A 45º B 90º C 150º D 160º class=

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sqdancefan
sqdancefan sqdancefan
  • 09-05-2019

Answer:

A. 45°

Step-by-step explanation:

The smallest interior angle measure of any regular polygon is that of an equilateral triangle: 60°.

___

The corresponding exterior angle measure for interior angle x will be its supplement: 180° -x. This value must be a divisor of 360° 360° is not evenly divisible by 180°-45°=135°.

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