Prove that an exterior angle of a triangle is equal to the sum of the non adjacent interior angles of that triangle. Use the following variables in your proof.

Question

Exterior angle=w
Interior adjacent angle= x
Interior non adjacent angle1= y
Interior non adjacent angle2= z

Answer 1

Start with the idea that there are 180 degrees in a triangle and that angles w and x are supplementary which means they sum to 180

180 = w + x
180 = x + y + z

Can you finish it now?

Answer 2

If a + b + c = 180° (Being a triangle)
Prove x i.e. exterior angle = b + c.