Answer
$I = 108^{\circ}$
Work Step by Step
We can find the measure of the obtuse angles in the regular polygon with 5 sides:
$I = \frac{(n-2)~180^{\circ}}{n}$
$I = \frac{(5-2)~180^{\circ}}{5}$
$I = \frac{(3)~180^{\circ}}{5}$
$I = 108^{\circ}$