A number $Y$ is greater than a number $X$ and another number $Z<0$. Which of the following relations can be true for a unique value of $Z$?

The area of a triangle is equal to the area of a rectangle. The area of the rectangle is equal to the area of a parallelogram. What is the relation between the area of the triangle and the area of the parallelogram?

Raghvan claims that the magnitude of the $\angle ABC$ is greater than the magnitude of the area of the right triangle $∆PQR$.

Is his claim correct? Why?

Balan says, "The measure of all right angles cannot be equal as their arms can be of different lengths." Why is Balan's statement not true?

The $9$ steps in paper plane making are given in a catalogue.

Lets expand the figure for Step $\mathrm{III}$, as shown below:

If in the given figure, $\angle 1=\angle 2$ and $\angle 3=\angle 4$, and you have to prove that $\angle \mathrm{ABF}=\angle \mathrm{CBF}$, then state the Euclid's axiom which is to be used here.