Question

on the
If the base of an isosceles.
triangle is produced
both sides, prove that the
exterior angles so formed
are equal to each other,
​

Answer 1

Answer:

it is very simple and I will try to prove it simply.

Step-by-step explanation:

Prove- suppose, ABC is an isosceles traingle and the base of this traingle is ABD.

so, angleABC + angle ABD is =180 due to linear pair.

next, and other side also produce base so an angle is form angle ACE

so, angle ACE + angle ACB= 180 due to linear pair.

As the see above equation both are equal, then it can be write as

angle ACE+ angle ACB = angle ABC + angle ABD.

Hence it is proved.