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They make a pair of acute angles and a pair of obtuse angles. In rotational order, the angles are acute, obtuse, acute, obtuse.
In every pair of complementary angles, both of them are acute angles.
A rhombus has a pair of opposite equal acute angles and a pair of opposite equal obtuse angles and the four angles add up to 360 degrees.
No
The Vertical Angles Theorem says that a pair of vertical angles are always congruent.