The sum of the measures of two exterior angles of a triangle is 264˚. What is the measure of the third exterior angle?

Question

anonymous · Answer

I would Imagine it is 96 degrees

wolf1728 · Answer

If the 3 exterior angles are measured from each vertex, they will sum to 360°
Each exterior angle = 180° - interior angle.
If 2 exterior angles sum to 264° then the interior angles sum to
2 exterior angles = 360° - 2 interior angles
264° = 360° - 2 interior angles
2 interior angles = 360° -264°
the 2 interior angles = 96°
The third interior angle = 84° and therefore that exterior angle =
180° - 84° = 96°
(As Gman5001 also said).