In the given’ figure,∠1 =∠3 and∠2 =∠4. Using Euclid’s axiom, show that ∠A =∠C.

Given, ∠1 = ∠3,…(i)

and ∠2 =∠4 …(ii)

Euclid’s second axiom says that, if equals are added to equals, then the wholes are equal.

On adding Eqs. (i) and (ii), we get

∠1 +∠2 =∠3 + ∠4

=> ∠4 =∠C