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Question
A quadrilateral has all its four angles of the same measure. What is the measure of each?
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Solution
\[\text{ Let x be the measure of each angle } . \]
\[ \text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[x° + x° + x° + x° = 360°\]
\[ \Rightarrow 4x° = 360° \]
\[ \Rightarrow x°= 90° \]
\[ \therefore \text{ The measure of each angle is } 90° .\]
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