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

Answer 1

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°.