Question

can two acute angels be supplementary?

Answer 1

No..
Supplementary angle measure ,180°.
And acute angles are less than 90 ° .even if we add 2 acute angles they cannot be supplementary.
180/2 = 90° but acute angles are not equal to or more than 90°

Hence it is proved that,two acute angles can not be supplementary.

This is the answer to the question.

Answer 2

first of all, what are acute angles?

acute angles are those angles whose measure is between 90° and 0° but not 90° or 0°

now we know that the sum of two supplementary angle is always 180°

therefore the two angles must be 180/2 = 90°

and acute angles are less then 90° so it can't be possible.

but it's possible if one angle is acute and another one is obtuse angle.

like sum of 80° and 100°

where 80° is an acute angle and 100° is a obtuse angle.

so final answer - two acute angles can't be supplementary.

HOPE THIS HELPS..!!