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Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles. - Mathematics

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प्रश्न

Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles.

 
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उत्तर

\[\text{ Let x be the measure of the equal angles of the quadrilateral }  . \]

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

\[x° + x°+ x°+ 150°= 360°\]

\[ \Rightarrow 3x°= 360°- 150°\]

\[ \Rightarrow x°= 210°\]

\[ \therefore \text{ The measure of each angle is } 70° .\]

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
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 10 | पृष्ठ १६
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