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Question
The three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle.
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Solution
\[\text{ Let x be the the fourth angle } . \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have: } \]
\[110°+ 50° + 40° + x = 360° \]
\[ \Rightarrow 200° + x = 360°\]
\[ \Rightarrow x = 160° \]
\[ \therefore \text{ The fourth angle is 160 } ° .\]
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