Why can two acute angles be supplementary?

1 Answer
Zor Shekhtman
Dec 6, 2015

They cannot.
Their sum must be 180^o to be supplementary, but it will be less than 180^o because each acute angle is less than 90^o.

Explanation:

Angles /_A and /_B are supplementary if their sum measures 180^o.

Acute angle are those measured less than 90^o.

If /_A<90^o and /_B<90^o then
/_A+/_B < 180^o

Therefore, two acute angle cannot be supplementary to each other.

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