if the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon…
if the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?\n10\n12\n20\n24
Answer
Explanation:
Step1: Recall the formula
The smallest angle of rotation $\theta$ of a regular polygon is given by $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of sides.
Step2: Solve for $n$
We know $\theta = 18^{\circ}$, so $n=\frac{360^{\circ}}{\theta}$. Substituting $\theta = 18^{\circ}$ into the formula, we get $n=\frac{360}{18}$.
Step3: Calculate the value of $n$
$n = 20$.
Answer:
C. 20