By the definition of a ▱, AD∥BC and AB∥DC.

Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary.

Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠.

Alexander bought 2 peaches and 5 bananas.

Step-by-step explanation:

Since Alexander and his children went into a grocery store and he bought $ 6 worth of bananas and peaches, and each banana costs $ 0.60 and each peach costs $ 1.50, and he bought a total of 7 bananas and peaches altogether, in order to determine the number of bananas, x, and the number of peaches, y, that Alexander bought, the following calculation must be performed:

1.5 x 7 + 0.6 x 0 = 10.5

1.5 x 6 + 0.6 x 1 = 9.6

1.5 x 5 + 0.6 x 2 = 8.7

1.5 x 4 + 0.6 x 3 = 7.8

1.5 x 3 + 0.6 x 4 = 6.9

1.5 x 2 + 0.6 x 5 = 6

Therefore, Alexander bought 2 peaches and 5 bananas.