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  • Solve each of the following question using appropriate Euclid’s axiom: In the Fig.5.7, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.

Solve each of the following questions using appropriate Euclid’s axiom:  In the Fig.5.7, we have \angle1 = \angle2, \angle2 = \angle3. Show that \angle1 = \angle3.

Answers (1)

To Prove: \angle1 = \angle3

Here, it is given that \angle1 = \angle2, \angle2 = \angle3

We observe that \angle1 and \angle3 both are equal to \angle2. In other words, both are equal to the same thing. Hence from Euclid’s axiom, things which are equal to the same thing are equal to each other.

So, \angle1 = \angle3      

Hence proved.

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