The complementary angles form a right angle with the shared ray.
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That would be a right angle: The measure of complementary angles adds up to 90 degrees. Adjacent angles are angles that share one common side and one common vertex, but no common interior points (the angles don't overlap). The non-common sides of two adjacent angles are the two "outside" sides (the unshared sides). Two adjacent and complementary angles would form a right angle split by a ray/line, and not necessarily bisected (perfectly divided in half).
No, one of two complementary angles cannot be obtuse, because only two acute angles that add up to 90 degrees are complementary and that an obtuse angle on its own is greater than 90 degrees.
Generally false. In a parallelogram, the opposite angles are equal. They could be complementary in a highly skewed parallelogram in which one angle is 45 degrees.
They are adjacent angles.
If two angles are complementary, then they equal 90 degrees. If one angle is 62 degrees we subtract it from 90 and get 38 degrees.