1. Solve the given question using appropriate Euclid’s axiom :
1. In the Figure, we have \(∠1 = ∠3\) and \(∠2 = ∠4\). Show that \(∠A = ∠C\).
Proof:
\(∠1 = ∠3\) .....(1)
and \(∠2 = ∠4\) ----(2)
By Euclid axiom \(2\),
Therefore we get, \(∠A=∠C\)
Hence, verified.
2. In the Figure, we have \(∠1 = ∠2, ∠2 = ∠3\). Show that \(∠1 = ∠3\).
Proof:
\(∠1 = ∠2, ∠2 = ∠3\)
Now, by Euclid's axiom \(1\),
Hence, \(∠1=∠3\).