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  • Solve each of the following question using appropriate Euclid’s axiom: In the Fig. 5.8, we have ∠1 = ∠3 and ∠2 = ∠4. Show that ∠A = ∠C.

Solve each of the following question using appropriate Euclid’s axiom:  In the Fig. 5.8, we have \angle1 = \angle3 and \angle2 = \angle4. Show that \angleA = \angleC.

Answers (1)

To prove:\rightarrow \angleA = \angleC

Here given that \angle1 = \angle3, \angle2 = \angle4

According to Euclid’s axiom, if equals are added to equals then wholes are also equal.

So here if we add \angle1, \angle2 then it is equal to the sum of \angle3, \angle4.

\angle1 + \angle2 = \angle3 + \angle4

(\because \angle1 + \angle2 = \angleA ; \angle3 + \angle4 = \angleC)

\angleA = \angleC

Hence proved

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