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

always

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never

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not always

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definetely

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Solution

The correct option is C
not always

Consider acute angles $30^{\circ}$ and $20^{\circ}$ , the sum is $50^{\circ}$ which is a acute angle.

Consider acute angles $60^{\circ}$ and $50^{\circ}$ , the sum is $110^{\circ}$ which is a obtuse angle.

So, the sum of two acute angles is not always an acute angle.

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Similar questions

Q. Which of the following is correct?
1. The sum of two acute angles is always an obtuse angle
2. The difference between an obtuse angle and a right angle is an acute angle
3. The sum of two acute angles can be acute, right or an obtuse angle

Q. Sum of two acute angles will always be an acute angle.

Q. Prove that the sum of the three angles of a triangle is two right angles. If in a right angles triangle an acute angle is 1/4th the other, find the acute angles.

Q. Sum of any two acute angles can't be a _____ angle.

Question 12
If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?
a) One obtuse angle and one acute angle
b) One right angle and one acute angle
c) Two acute angles
d) Two right angles

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

The correct option is C not always Consider acute angles 30∘ and 20∘, the sum is 50∘ which is a acute angle. Consider acute angles 60∘ and 50∘, the sum is 110∘ which is a obtuse angle. So, the sum of two acute angles is not always an acute angle.