In the Fig.5.7, we have ∠ 1 = ∠ 2, ∠ 2 = ∠ 3. Show that ∠ 1 = ∠ 3.

Question

Philoid · Accepted Answer

Given, ∠1 = ∠2 …(i)

and ∠2 = ∠3 …(ii)

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

From Eqs. (i) and (ii),

∠1 = ∠3

In the Fig.5.7, we have ∠1 =∠2, ∠2 =∠3. Show that ∠1 =∠3.