Respuesta :
Step-by-step explanation:
When two angles add up and it is equal to 180 degrees, the angles are supplementary i.e.
A +B = 180
The angles that more than 0 degrees and less than 90 degrees, are acute angles and the angles that are more than 90 degrees but less than 180 are obtuse angles.
The statement is "If two angles are supplementary, then one angle is acute". It is somewhere true as well as false. It is true if and only angles are not equal to 90 degrees.
Take both angles as right angles. This is the only counterexample available if you don't count the angle in negative magnitude to show reverse direction(clockwise) angle measurement.
Definition of supplementary angles:
Two angles are supplementary if they add up to [tex]180^{\circ}[/tex].
Definition of acute angle:
Angle which measures less than [tex]90^{\circ}[/tex].
Now take two angles as of x and y degrees respectively.
Let x = y = 90 degrees.
Then both x and y angles are supplementary (as they add up to 180 degrees) yet they are not acute.
Hence shown.
For more information, refer this link below:
https://brainly.com/question/1158617
