Question

If the sides of a triangle are produced in order, Prove that the sum of the exterior angles so formed is 360°

Answer 1

Step-by-step explanation:

Suppose you have a ∆ABC

All the exterior angles will be equal to

(180-A)°

(180-B)°

(180-C)°

respectively (Angles on the same line) so if you sum it up it will be equal to 540 - (A+ B + C )

And by angle sum property A+B+C = 180°

Therefore Sum = 540 - 180 = 360

Answer 2

Answer:

here you go

Step-by-step explanation:

All the exterior angles will be equal to

(180-A)°

(180-B)°

(180-C)°

respectively (Angles on the same line) so if you sum it up it will be equal to 540 - (A+ B + C )

And by angle sum property A+B+C = 180°

Therefore Sum = 540 - 180 = 360