Question:
In the adjoining figure, we have ∠1 =∠3 and ∠2 = ∠4. Show that ∠A = ∠C.
Solution:
Given,∠1 = ∠3 …(i)
and ∠2 = ∠4 …(ii)
According to Euclid’s axiom, if equals are added to equals, then wholes are also equal.
On adding Eqs. (i) and (ii), we get
∠1 + ∠2 = ∠3 +∠4
=> ∠A = ∠C
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