Two acute angles can be verticaladjacentcomplementary.
They cannot be supplementary.
Two angles ##/_A## are vertical (formed by two intersecting lines) and acute (smaller than ##90^o##).
Angles ##/_1## and ##/_2## are adjacent (share one side) and acute.
Angles ##/_a## and ##/_b## are complimentary (sum of them equals to ##90^o##) and acute.
Two acute angles cannot be supplementary (sum of them should equal to ##180^o##) because each of them is smaller than ##90^o##.