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Question

# 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

A
1 and 2
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B
2 and 3
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C
1 and 3
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D
1, 2 and 3
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Solution

## The correct option is B 2 and 3The sum of two acute angles can be an acute, right or obtuse angle. Example: 20° + 20° = 40° (Acute angle) 50° + 40° = 90° (Right angle) 80° + 60° = 140° (Obtuse angle) Difference between an obtuse angle and a right angle is an acute angle. Example: 125° - 90° = 35° (Acute angle) So, the statements 2 and 3 are correct, while statement 1 is incorrect.

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