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If the Sum of the Two Angles of a Quadrilateral is 180°. What is the Sum of the Remaining Two Angles? - Mathematics

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प्रश्न

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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उत्तर

\[\text{ Let }  \left( x + y \right) \text{ be the sum of the remaining two angles .}  \]

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

\[180° + \left( x + y \right)° = 360°\]

\[ \Rightarrow \left( x + y \right)° = 180° \]

\[ \therefore \text{ The sum of the remaining two angles is } 180° .\]

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अध्याय 16: Understanding Shapes-II (Quadrilaterals) - Exercise 16.1 [पृष्ठ १६]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 16 Understanding Shapes-II (Quadrilaterals)
Exercise 16.1 | Q 12 | पृष्ठ १६
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