Question

If the sides of the triangle are produced in
order, prove that sum of the exterior angles so
formed is equal to four right angles.​

Answer 1

Answer:

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