Question

Theorem: If a side of a triangle is produced the exterior angle so formed is equal to the sum of
the two interior opposite angles

Answer 1

Answer:

yes absolutely

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Answer 2

Answer:

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Step-by-step explanation:

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.