Question

A quadrilateral has all its four angles of the same measure. What is the measure of each?

Answer 1

\[\text{ Let x be the measure of each angle }  . \]

\[ \text{ Since, the sum of all the angles of a quadrilateral is }  360°, \text{ we have } : \]

\[x° + x° + x° + x° = 360°\]

\[ \Rightarrow 4x° = 360° \]

\[ \Rightarrow x°= 90° \]

\[ \therefore \text{ The measure of each angle is } 90° .\]