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Question
Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles.
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Solution
\[\text{ Let x be the measure of the equal angles of the quadrilateral } . \]
\[\text{ Since, the sum of all the angles of a quadrilateral is } 360°, \text{ we have } : \]
\[x° + x°+ x°+ 150°= 360°\]
\[ \Rightarrow 3x°= 360°- 150°\]
\[ \Rightarrow x°= 210°\]
\[ \therefore \text{ The measure of each angle is } 70° .\]
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