In the given figure angle 1=angle2 and angle 2=angle 3. show that angle 1=angle 3. state the euclid axiom used.  

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Things which are equal to the same things are also equal to one another
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if angle 1 =2 angle
angle 2 = angle 3
as you can see angle because of angle 2 we can say that things which are equal to the same things are equal to one another
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It is according to Euclid's first axiom "Things which are equal to the same things are equal to one another."
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