Answer:
a. ABCDEFHILO
b. 36- 24- 18- dodeca- nona- octa- hexa- penta- square, triangle
c. HLNOPQ
d. ABCD EFGH IJKL MNOP Q
Step-by-step explanation:
a. The exterior angles of a regular polygon have a measure that is 360° divided by the number of sides. If the angle has an integer value, that value must be a divisor of 360°.
Possible regular polygons are ...
ABCDEFHILO
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b. A: 36-gon; B: 24-gon; C: 18-gon; D: dodecagon; E: nonagon; F: octagon; H: hexagon; I: pentagon; L: square; O: triangle
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c. The supplement of a regular polygon's interior angle is equal to 360° divided by the number of sides. That is, the angle's supplement must be a divisor of 360°.
Possible regular polygons are ...
HLNOPQ
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d. In order for a polygon to be convex, it can have no reflex interior angles. That is, all interior angles must be at most 180°. On<em>ly </em><em>polygons R, S, T cannot be convex</em>.
Possible convex polygons are ...
ABCD EFGH IJKL MNOP Q