Respuesta :
Yes it is possible to have an exterior angle equal to its adjacent interior angle neighbor. It is only possible in a right triangle and only for the 90 degree angle.
If the interior angle is 90 degrees, then the exterior angle is also 90 degrees since 180-90 = 90. Put another way, the two adjacent angles (90 and 90) add to 90+90 = 180.
Using the concept of supplementary angles, it is found that the measure of an exterior angle of a triangle is equal to the measure of it's adjacent interior angle if both measure 90º.
- Two angles are called supplementary if their measures add to 180º.
- The exterior angle of a triangle is supplementary to it's adjacent interior angle.
- Thus, if the exterior angle is of 90º, it's adjacent interior angle will also be of 90º.
A similar problem is given at https://brainly.com/question/22826236
