Question

If the measure of an angle is twice the measure of an acute angle, then this angle is necessarily an obtuse angle.

• A. True
• B. False

Answer 1

The correct option is B False

Since $42°$ is an acute angle but its twice $84°$ is not an obtuse angle.

Since $65°$ is also an acute angle and its twice $130°$ is an obtuse angle.

So, from the two above mentioned examples it is clear that the twice of the measure of an acute angle is not necessarily an obtuse angle.