The sum of the measures of the exterior angles of any triangle is 360°.
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
According to the exterior angle inequality theorem, the measure of an exterior angle of a triangle is greater than either of its interior opposite angles.
∠1, ∠2, and ∠3 are the exterior angles of triangle ABC.
We know that the sum of all the exterior angles of any polygon is equal to 360°.
Thus, the sum of exterior angles of a triangle formula is stated as follows,
Sum of all the exterior angles of a triangle = 360°
Therefore in triangle ABC the sum of exterior angles,
∠1 + ∠2 + ∠3 = 360°
Hence, the sum of the measures of the exterior angles of any triangle is 360°.
Learn more about exterior angles here;
https://brainly.com/question/2406986
#SPJ2
