Question

A regular polygon has possible angles or rotational summetry of 20, 40, and 80 degrees. How many side does the polygon have?

Answer 1

Answer:

The number of sides regular polygon have = 18

Step-by-step explanation:

The possible angle or rotational symmetry is 20° , 40° , 80° of any regular polygon .

now,

Symmetrical under 20° Rotation is also symmetrical on rotation of any multiple of 20°

So, number of sides = n = $\frac{360}{External angle}$

I.e                                  n =  $\frac{360}{20}$

So,                                 n = 18

Hence the number of sides the polygon have 18    Answer