Which country did Thales belong to?

Find the solution to the equation $2x = 50$ and specify the Euclid's axiom used in it.

Read the following statements which are taken as axioms:
$(i)$ If a transversal intersects two parallel lines,then corresponding angles are not necessarily equal.
$(ii)$ If a transversal intersects two parallel lines,then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.

Boundaries of solids are:

Solve the following question using an appropriate Euclid's axiom:
In the figure,we have $AB = BC$ and $BX = BY$. Show that $AX = CY$.

Solve the following question using appropriate Euclid's axiom:
In the figure:
$BM = BN$,$M$ is the mid-point of $AB$ and $N$ is the mid-point of $BC$. Show that $AB = BC$.