Answer
$G$
Work Step by Step
The sum of the interior angles of any triangle must equal $180^{\circ}$, no more and no less.
Option $F$ is incorrect. If two right angles are in the triangle, then those two angles would add up to $180^{\circ}$ already, which is what all the interior angles of a triangle should equal. The third angle cannot equal $0^{\circ}$.
Option $G$ is correct. If one of the angles in the triangle is obtuse, there is only room for two acute angles. We cannot have another obtuse angle or even a right angle because the sum of the three angles would equal more than $180^{\circ}$.
Option $H$ is incorrect. Two obtuse angles in one triangle would already have a sum of greater than $180^{\circ}$. The third angle cannot be negative.
Option $I$ is incorrect. There are no vertical angles in a triangle.