Question

All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?

Answer 1

According to the given details

All the angles of a quadrilateral are equal.

Let the angles of the quadrilateral be $x$.

We know that,

Sum of all angles of a quadrilateral $=360°$

$$\begin{gathered} \Rightarrow x+x+x+x=360° \\ \Rightarrow 4x=360° \\ \Rightarrow x=\frac{360°}{4} \\ \Rightarrow x=90° \end{gathered}$$

Hence, the quadrilateral is a rectangle or a square.