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Question

Which of the following statement is true?

A
Sum of two acute angles will always be an acute angle.
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B
Sum of two acute angles will always be an obtuse angle.
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C
Sum of two acute angles will always be a right angle.
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D
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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