The sum of the measures of the angles of a triangle is 180°.

The following sets of angles could not be the measures of the three angles of a triangle.

28° + 64° + 98° = 190°

19° + 40° + 111° = 170°

This set of angles could be the measures of the three angles of a triangle.

40° + 64° + 76° = 180°

The measure of an exterior angle of a triangle is equal to the

sum of the two non-adjacent interior angles of the triangle.

The following pair of angles could not be the values of *w* and *x*.

55° + 85° = 140°

The following pairs of angles could be the values of *w* and *x*.

44° + 91° = 135°

46° + 89° = 135°