Question

In the given figure ∠ 1 = ∠3 and ∠2 = ∠4. show that ∠A =∠C​

Answer 1

Step-by-step explanation:

We have ∠1=∠3...(1) [Given]

And ∠2=∠4....(2) [Given]

Now, by Euclid's axiom 2, we have if equal are added to equals, the whole are equal.

Adding (1) and (2), we get

∠1+∠3 = ∠2+∠4

Hence, ∠A=∠C.