Question

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

Answer 1

Sum of adjacent angles = $180°$
$∠ A + ∠ B = 180\degree$
$2∠ A = 180º (∠ A = ∠ B)$
$∠ A = 90\degree$
$∠ B = ∠ A = 90\degree \\\∠ C = ∠ A = 90\degree \;(Opposite \;angles) \\\∠ D = ∠ B = 90\degree \;(Opposite \;angles)$

Thus, each angle of the parallelogram measures $90\degree$.