A. Two angles whose measures add up to 90° are said to be complementary, while two angles are adjacent when formed beside each other. So, adjacent angles might be complementary or supplementary. Thus, the answer to the first part of the question is false.
B. When two angles share a side, they are said to be adjacent to each other. But supplementary angles add up to . Since adjacent angles might be complementary or supplementary, then the answer to the second part of the question is false.