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Question
If the sum of the two angles of a quadrilateral is 180°. What is the sum of the remaining two angles?
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Solution
\[\text{ Let } \left( x + y \right) \text{ be the sum of the remaining two angles .} \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[180° + \left( x + y \right)° = 360°\]
\[ \Rightarrow \left( x + y \right)° = 180° \]
\[ \therefore \text{ The sum of the remaining two angles is } 180° .\]
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