Ellen is drawing two polygons. One of the polygons has three more angles than the other. What shapes could she be drawing?
2 answers:
The attachment shows different types of polygons.
Now depending on these we have following five possibilities:
Case 1: Triangle and hexagon
If first polygon is triangle with three angles, the second will have 6 angles and the second polygon will be hexagon.
Case 2: Quadrilateral and heptagon
If first polygon is quadrilateral with 4 angles, the second will have 4+3 =7 angles and the second polygon will be heptagon.
Case 3: Pentagon and Octagon
If first polygon is pentagon with 5 angles, the second will have 5+3=8 angles and the second polygon will be octagon.
Case 4: Hexagon and Nonagon
If first polygon is hexagon with 6 angles, the second will have 6+3=9 angles and the second polygon will be nonagon.
Case 5: Heptagon and Decagon
If first polygon is Heptagon with 7 angles, the second will have 7+3=10 angles and the second polygon will be decagon.
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