The sum of the measures of two exterior angles of a triangle is 264° . What is the measure of the third exterior angle?
The sum of the measures of the exterior angles of a triangle is always 360°.
Let's assume the measure of the third exterior angle is x°.
Therefore, the sum of the measures of the three exterior angles would be x + 264 + x = 360.
Combining like terms, we have 2x + 264 = 360.
Subtracting 264 from both sides, we have 2x = 96.
Dividing both sides by 2, we have x = 48.
Therefore, the measure of the third exterior angle is 48°.