Polygons

4.) How many sides has a polygon if it has 50 times as many diagonals as it has sides?

5.) The number of diagonals drawn in a convex decagon is one-fourth the measure of one interior angle in a regular polygon. What is the name of the regular polygon?

7. In which regular polygon is each interior angle 9 times the measure of each exterior angle?

1). No, 108 + 90 + 90+ 60 does not = 360.

2). hexagon. (90+90+60 + x = 360 so x =120)

3). quad. & 12-gon or hexagon & hexagon

4) 103

5.) nonagon (9 sides)

6.) 740 diagonals

7.) 20-gon