1. The problem asks which angle fact can be used to find angle $h$ from angle $g$ when two parallel lines are cut by transversals. 2. Important angle facts when parallel lines are cut by a transversal include: - Corresponding angles are equal. - Alternate interior angles are equal. - Consecutive interior angles are supplementary (sum to 180°). 3. From the description, angles $h$ and $g$ are corresponding angles on opposite sides of the transversals. 4. Therefore, the angle fact used is that corresponding angles are equal: $$h = g$$ 5. This means if you know the measure of angle $g$, angle $h$ has the same measure. 6. The 137° angle adjacent to $h$ is supplementary to $h$ because they form a linear pair: $$h + 137^\circ = 180^\circ$$ 7. Solving for $h$: $$h = 180^\circ - 137^\circ = 43^\circ$$ 8. Since $h = g$, angle $g$ is also $43^\circ$. Final answer: The angle fact used is that corresponding angles are equal, so $h = g$.