Question

All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram ?
What special type of parallelogram is it?

Answer 1

Given,

All the angles of a quadrilateral are equal.

We know that sum of the four angles of quadrilateral are $={360}^0$

Let, consider each angle of quadrilateral is

So, according to the questiom,

$x+x+x+x={360}^0\Rightarrow 4x=360\Rightarrow x=\frac{360}{4}\Rightarrow x={90}^0$

$\therefore$ Each angle will be$={90}^0$
$\therefore$ It is a parallelogram as opposite angles are equal
$\because$ Each angle is of
$\therefore$ This parallelogram is a rectangle.