Twice of an acute angle is always an obtuse angle.
Obtuse angle:
As the acute angle is less than 90° and the obtuse angle is between 90° and 180°.
For example:
2×30°=60°2×60=120°
Here, 60° is acute angle but 120° is obtuse angle.
Therefore, the given statement is false.
The sum of two acute angles is always an obtuse angle.
Which is smaller an acute angle or an obtuse angle?
If the measure of an angle is twice the measure of an acute angle, then this angle is necessarily an obtuse angle.