Question: In the adjoining figure, we have ∠1 = ∠2 and ∠2= ∠3. Show that ∠1 = ∠3.
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 Eqs. (i) and (ii),
∠1 = ∠3