Question

Prove The measure of an exterior angle of a triangle is equal is the sum of its remate inter angle​

Answer 1

Step-by-step explanation:

ha the sum of 2interior angle= exterior angle.

Eg: in a triangle there is one exterior angle,it is 90° and interior angles are 30°,60° means sum of 2 interior angles=exterior angle only know

Answer 2

Answer:

The measure of an exterior angle of a triangle is equal is the sum of opposite interior angles​

Step-by-step explanation

Let there be a ΔABC

∠A=∠1

∠B=∠2

∠C=∠3

extend AB to point E

∠EAC=∠4

In ΔABC,Using angle sum property

∠A+∠B+∠C=180°

∠1+∠2+∠3=180°  (equation-1)

∠A+∠EAC=180°(angles in linear pair)

∠1+∠4=180°(equation-2)

Now substituting RHS in equation 1 from equation 2

∠1+∠2+∠3=∠1+∠4

∠2+∠3=∠1-∠1+∠4

∠2+∠3=∠4

∠B+∠C=∠EAC

HENCE PROVED