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Question

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


A
always
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B
not necessarily
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C
sometimes
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D
never
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Solution

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.

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