Question

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

Answer 1

The sum of the exterior angles is 360°
A 1 + B 1 + C 1 = 360°
264° + C 1 = 360°
C 1 = 360° - 264°
C 1 = 96°
Answer:
The measure of the third exterior angle is 96°.

Answer 2

96°

Explanation:

The sum of the exterior angles of a polygon is always 360°.

Hence, the sum of the 3 exterior angles of a triangle is also 360°

Sum of 2 of these angles are given as 264°. So it follows that:

264° + third angle = 360°

third angle = 360° - 264° = 96°

So, measure of the third exterior angle is 96°.