1.

In the given figure we have angle1=angle3,angle2=angle4 and angle3=angle4 prove that angle1= angle2

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Solution :
Euclid 's Axiom 1 says the THINGS which are equal to the same things are aqual to one another
`therefore ANGLE(1)=angle(3) and anlge(3)=angle(4)`
`rarrangle(1)=angle(4)` [by Euclid 's Axiom 1]
Now `angle(1)=angle(4)` (proved ) and angle(2)=angle(2)=angle(4)` (given)
`RARR angle(1)=angle(2)` [by Euclid 's Axiom 1]
HENCE `angle(1)=angle(2)`


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