Question

prove the angle Exterior angle property by drawing five triangle​

Answer 1

Answer:

Consider a Δ ABC.

The three angles a + b + c = 180 (angle sum property of a triangle) ----- Equation 1

c= 180 - (a+b) ----- Equation 2 (rewriting equation 1)

e = 180 - c----- Equation 3 (linear pair of angles)

Substituting the value of c in equation 3, we get

e = 180 - [180 - (a+b)]

e = 180 - 180 + (a + b)

e = a + b

Hence verified

Answer 2

Answer:

Answer:

Consider a Δ ABC.

The three angles a + b + c = 180 (angle sum property of a triangle) ----- Equation 1

c= 180 - (a+b) ----- Equation 2 (rewriting equation 1)

e = 180 - c----- Equation 3 (linear pair of angles)

Substituting the value of c in equation 3, we get

e = 180 - [180 - (a+b)]

e = 180 - 180 + (a + b)

e = a + b

Hence verified