Question
In the we have $\angle1=\angle2,\angle2=\angle3.$ Show that $\angle1=\angle=3$

Answer

We have, $\angle1=\angle2$ [Given] $\angle2=\angle3$ [Given]
Now, by Euclid's axiom $1$, things which are equal to the same thing are equal to one other.
Hence, $\angle1=\angle3$

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