How to prove that the sum of exterior angles of triangle is 360 degrees Four

How to prove that the sum of exterior angles of triangle is 360 degrees Four


1. Because the outer angle of a triangle is equal to the sum of the two inner angles not adjacent to it, the sum of the three outer angles = 2 * the sum of the inner angles of a triangle = 2 * 180 degrees = 360 degrees. 2. Using the properties of a triangle, it is proved that the sum of the inner and outer angles of a triangle is 540, and the sum of the inner angles of a triangle is 180, so the sum of the outer angles of a triangle is 360 degrees



One exterior angle of the triangle is equal to one exterior angle of the triangle and greater than one exterior angle of the triangle


One outer angle of a triangle is equal to the sum of two non adjacent inner angles
An outer angle of a triangle is greater than any non adjacent inner angle