Q:

Ellen is drawing two polygons. One of the polygons has three more angles than the other. What shapes could she be drawing?

Accepted Solution

A:
The attachment shows different types of polygons.Now depending on these we have following five possibilities:Case 1: Triangle and hexagonIf first polygon is triangle with three angles, the second will have 6 angles and the second polygon will be hexagon.Case 2: Quadrilateral and heptagonIf 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 OctagonIf 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 NonagonIf 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 DecagonIf first polygon is Heptagon with 7 angles, the second will have 7+3=10 angles and the second polygon will be decagon.