From the diagram the angles are .

In a triangle sum of angles are .

                     () \ \

  (Subtract 82 from each side)

              (Apply addiitve inverse propetry: )

                     (Apply addiitve identity propetry: )

                                  (Subtract: )

                             (Divide each side by 2)

                                  (Cancel common terms)

                                    (Divide: )

So, .

,  , 

So, the angle measures are  .

The value of x is . The angle measures are  .

is an right angle. So, the triangle is right triangle.