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Question
The four angles of a quadrilateral are as 3 : 5 : 7 : 9. Find the angles.
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Solution
\[\text{ Let the angles be in the ratio 3x : 5x : 7x : 9x .} \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[3x + 5x + 7x + 9x = 360° \]
\[ \Rightarrow 24x = 360° \]
\[ \Rightarrow x = 15° \]
\[\text{ Thus, the angles are } : \]
\[3x = 45° \]
\[5x = 75° \]
\[7x = 105° \]
\[9x = 135° \]
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