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State whether the statement is true or false.

The sum of two acute angles is an obtuse angle.

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True

False

answer is B.

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Detailed Solution

We need to verify whether the sum of two acute angles is an obtuse angle.
Let us consider the example.
Sum of two acute angles

20 ° + 30 ° = 50 °

forms an acute angle.
Consider another acute angle 70° and 60°.
Their sum is

70 ° + 60 ° = 130 °

. It forms an obtuse angle.
The sum of another pair of acute angle is

45 ° + 45 ° = 90 °

. It forms the right angle.
The correct statement is the sum of two acute angles will be either obtuse or acute or right angles.
Therefore, the statement is false and option 1 is correct.

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