Which of the following statement is true?

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

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

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Sum of two acute angles will always be a right angle.

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Sum of two acute angles will be either acute or obtuse or right angle.

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Solution

The correct option is D Sum of two acute angles will be either acute or obtuse or right angle.
Sum of 2 acute angles can be acute. For example, 30° + 40° = 70°. 70° is less than 90°, hence it is an acute angle.

Suppose if we consider two acute angles to be 60° and 40°, their sum is 100° which is greater than 90°.

Suppose if we consider two acute angles to be 45°,then their sum will be 90°, which is a right angle.

Therefore, sum of two acute angles will be either acute or obtuse or right 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. The supplementary angle of an acute angle will always be an _______ angle, whereas the supplementary angle of an obtuse angle will always be an _______ 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

Q. If the sum of two equal angles is supplementary , then each angle will be a/ an _____.

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