In the figure, if <1 = <4 and <4=<3 show that <1=<3
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Given,
∠1=∠3
∠2=∠4
$$_____________$$
∠1+∠2=∠3+∠4
From 1st postulate of Euclid,
The things which are equal to equal this are equal to one another.
⇒∠1=∠2
⇒∠1=∠2=∠3=∠4

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since angle 1 is equal to angle 4 coincidentally angle 4 is equal to 3.therefore angle 1 is equal to angle 3
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