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Solve the following question using appropriate Euclid’s axiom: In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3. - Mathematics

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Question

Solve the following question using appropriate Euclid’s axiom:

In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.

Sum
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Solution

Given, ∠1 = ∠2  ...(i)

And ∠2 = ∠3  ...(ii)

According to Euclid’s axiom, things which are equal to the same thing are equal to one another.

From equations (i) and (ii),

∠1 = ∠3

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Chapter 5: Introduction To Euclid's Geometry - Exercise 5.3 [Page 51]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 5 Introduction To Euclid's Geometry
Exercise 5.3 | Q 7. | Page 51

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