In the figure given below, if ∠1 = ∠3, ∠2 = ∠4 and ∠3 = ∠4

1.	In the figure given below, if ∠1 = ∠3, ∠2 = ∠4 and ∠3 = ∠4 write the relation between ∠1 and ∠2 using Euclid’s postulate.
Answer» Given : ∠1 = ∠3 ∠3 = ∠4 ∠2 = ∠4 ∴∠1 = ∠2 ∵Both ∠1 and ∠2 are equal to ∠4. (By Euclid’s axiom things which are equal to same things are equal to one another)

In the figure given below, if ∠1 = ∠3, ∠2 = ∠4 and ∠3 = ∠4 write the relation between ∠1 and ∠2 using Euclid’s postulate.

Answer»

Given : ∠1 = ∠3

∠3 = ∠4

∠2 = ∠4

∴∠1 = ∠2

∵Both ∠1 and ∠2 are equal to ∠4. (By Euclid’s axiom things which are equal to same things are equal to one another)