The inverse of the statement consist in the negation fo the two parts of the statement, then:
We can rewrite the stament as: If an angle is obtuse, then it is not a right angle.
The first part of the statement says "if an angle is obtuse", then the negation is "if an angle is not obtuse".
The other parts says "then it is not a right angle", the negation is "then it is a right angle"
Then, the inverse of the statement says: If an angle is not obtuse, then it is a right angle.
By definition, an obtuse angle is an angle that measures more than 90° but less than 180°. And a right angle is an angle that measures exactly 90°. But there's also acute angles, which measures less than 90°, and other classifications for angles.
Thus, if an angle is not obtuse, it can be a right angle but also can be an acute angle, or even a straight angle or reflex angle.
In conclusion, the statement: If an angle is not obtuse, then it is a right angle, is FALSE.