Question

Q: prove the theorem:
if a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
(tomorrow is my exam please help me with this)

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Answer 1

Answer:

⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⋆ ANSWER ⋆

➠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'.

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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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Answer 2

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