Answer:
No
Explanation:
Take two angles α and β. If I said that angle α and β are complementary angles is correct to say α+β= 90°, because of the definition of complementary angles. The supplementary angles are those that sum 180°, and it is impossible that α+β=90° and at the same time α+β=180°.
Something similar occurs with the adjacent and vertical angles, if they are adjacent, this means they have a common vertex and side but if they are vertical, α is in the opposite position of β and the angles are formed by the intersection of two lines. So, β cannot be at the side of α and at the same time in the opposite position.