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
• B. 2 and 3
• C. 1 and 3
• D. 1, 2 and 3

Answer 1

The correct option is B 2 and 3

The 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.