WILL GIVE BRAINLIEST IF FULL COMPLETE CORRECT ANSWER IS GIVEN.

Mathematics

1 answer:

Roman55 [17]4 years ago

3 0

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

b. A: 36-gon; B: 24-gon; C: 18-gon; D: dodecagon; E: nonagon; F: octagon; H: hexagon; I: pentagon; L: square; O: triangle

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

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°. Only polygons R, S, T cannot be convex.

Possible convex polygons are ...

ABCD EFGH IJKL MNOP Q