Question

exterior angle property with example​

Answer 1

Answer:

exterior angle is the angle which is equal to the two interior angle

for example - in triangle ABC

angle A=60

angle B=30

angle c 's exterior is 90

Answer 2

Step-by-step explanation:

Well, let's take a triangle ABC in which angles are named as shown in the picture attached.

In the figure,

Angle 1 + Angle 2 = 180° -------------(1) [ Angle 1 and Angle 2 are linear pairs ]

Also, Angle 2 + Angle 3 + Angle 4 = 180° ------------(2) [ The mentioned angles are a side of a triangle whose sum of internal angles is always 180°]

Hence, we can conclude from equations (1) and (2),

Angle 1 + Angle 2 = Angle 2 + Angle 3 + Angle 4

Angle 1 + Angle 2 = Angle 2 + Angle 3 + Angle 4

Angle 1 = Angle 2 + Angle 3 + Angle 4 - Angle 2

Angle 1 + Angle 2 = Angle 2 + Angle 3 + Angle 4

Angle 1 = Angle 2 + Angle 3 + Angle 4 - Angle 2

=> Angle 1 = Angle 3 + Angle 4

This is what exterior angle property says.