Question

The sum of two acute angles is ___ an acute angle.

• A. always
• B. not necessarily
• C. sometimes
• D. never

Answer 1

The correct option is B not necessarily

Sum of two acute angles does not have to be necessarily an acute angle. It can also be an obtuse angle.

For example:
65⁰ + 45⁰ = 110⁰
Here both 65⁰ and 45⁰ are acute angles but their sum is an obtuse angle.
Similarly, sum of 23⁰ and 45⁰ is equal to 68⁰ which means that sum of two acute angles can also be an acute angle.

Hence the correct option is (B) Sometimes.