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Sagot :
The statement "If ∠1 and ∠2 form a linear pair; ∠1 and ∠3 are supplementary, then ∠2 = ∠3" is proved.
If the sum of two angles is 180 then they are called supplmentary angles of each other.
If one straight line meets another straight line at a point, then two adjoint angles at that point on that line is called Linear angles to each other.
Here given that ∠1 and ∠2 are linear to each other.
From property of the linear angles we know that the sum of linear angles is 180.
Therefore, ∠1 + ∠2 = 180
So, ∠2 = 180 - ∠1 .........(1)
Also it is given that, ∠1 and ∠3 are supplementary angles.
So, ∠1 + ∠3 = 180
Therefore, ∠3 = 180 - ∠1.....(2)
Comparing (1) and (2) we get,
∠2 = ∠3 = 180 - ∠1
Therefore, ∠2 = ∠3, proved
Learn more about Supplementary Angles here -
https://brainly.in/question/24782288
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