Math, asked by Shalikas, 1 year ago

Prove if the side of a triangle is produced then the exterior angles os formed is equal to the sum of two interior opposite angles

Answers

Answered by Royalnikhil
2
Because it is a exterior angle proraty
In which the exterior angle is equal to the other opposite angles

Shalikas: What........u have to prove it if you don't know the answer why are you writing
Answered by BrainlyQueen01
5
Statement : If side of a triangle is produced, then the exterior angles so formed is equal to the sum of the two interior opposite angles.

Given : A triangle ABC with interior angles x , y and z and exterior angle 'e'.

To prove : e = x + y

Proof :

In the figure, :

x + y + z = 180°.... (i) [Angle sum property]
e + z = 180 ° ........ (ii) [Linear pair]

On camparing equation ( i ) and ( ii )

x + y + z = e + z

Therefore, x + y = e

Hence, it is proved.
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