The figure shows three exterior angles of triangle abc. show that the measure of angle 1 plus the measure of angle 2 plus the measure of angle 3 equals 360

Step-by-step explanation:

Let the angle near point A be .

Let the angle near point B be .

Let the angle near point C be .

Let the external angle near point A be .

Let the external angle near point B be .

Let the external angle near point C be .

According to exterior angle property,exterior angle of an angle is the sum of other two angles.

So,

According to angle sum property,the sum of angles in the triangle add to

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right