1. The problem asks to identify pairs of angles formed by two parallel lines $g$ and $h$ cut by a transversal $t$ that have equal measures. 2. When two parallel lines are cut by a transversal, several angle relationships hold: - Corresponding angles are equal. - Alternate interior angles are equal. - Alternate exterior angles are equal. - Consecutive interior angles are supplementary (sum to 180°). 3. Labeling the angles as given: - $A1, A2, A3, A4$ are angles at line $g$. - $B1, B2, B3, B4$ are angles at line $h$. 4. Using the properties: - $\angle A1$ and $\angle B3$ are alternate interior angles, so $\angle A1 = \angle B3$. - $\angle A2$ and $\angle B2$ are corresponding angles, so $\angle A2 = \angle B2$. - $\angle A1$ and $\angle B4$ are consecutive interior angles, so they are supplementary, not equal. - $\angle A3$ and $\angle B2$ are consecutive interior angles, so they are supplementary, not equal. 5. Therefore, the pairs with equal angles are: - $\angle A1$ and $\angle B3$ - $\angle A2$ and $\angle B2$ Final answer: - $\boxed{\angle A1 = \angle B3}$ - $\boxed{\angle A2 = \angle B2}$