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

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{angle}\mathrm{be}\mathrm{x}. \\ A\mathrm{ll}\mathrm{the}\mathrm{angles}\mathrm{are}\mathrm{equal}. \\ \therefore x+x+x+x=360° \\ 4x=360° \\ x=90° \\ \mathrm{So},\mathrm{each}\mathrm{angle}\mathrm{is}90°\mathrm{and}\mathrm{quadrilateral}\mathrm{is}\mathrm{a}\mathrm{parallelogram}.\mathrm{It}\mathrm{is}\mathrm{a}\mathrm{rectangle}. \end{gathered}$$