Common Core End-of-Course Assessment - Page 882: 56

$\bf{H}$

Here, the minimum angle that is needed to map a regular polygon onto itself can be written as: $C=\dfrac{360^{\circ}}{n}$ $n=5$ for a pentagon So, $C=\dfrac{360^{\circ}}{5}=72^{\circ}$ We will consider the multiple of $72^{\circ}$ which is $144^{\circ}$. Therefore, the correct option is $\bf{H}$.