Question

Is it possible for two acute angles to be supplementary?

Answer 1

No.

Explanation:

An acute angle means that it is less than `90^o` (`alpha < 90^o`) or `pi/2` in radians,

If two angles are supplementary, it means that their sum is `180^o` (`x+y = 180^o`) or `pi` in radians.

Now, if two angles are acute, i.e., less than `90^o` (`a<90^o` and `b<90^o`), their sum must be less than `180^o`:
`a<90^o`
`b<90^o`
_____``
`a+b<180^o`