Question

the given fig, prove that x + y + z is 360​

Answer 1

Answer:

We all know that the sum of exterior angle of a triangle is 360°. Hence, the sum of x+y+z is 360°.

Answer 2

Given:- ABC is a triangle, with x, y and z as it's exterior angles.

To proof:- x+y+z=360°

Proof:-

x=(180°-y)+(180°-z). [Exterior angle property of a triangle]

x=180°-y+180°-z

x=360°-y-z

x+y+z=360°

Hope it helps you.