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In the Following Figure Risk and Clue Are Parallelograms. Find the Measure of X. - Mathematics

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प्रश्न

In the following figure RISK and CLUE are parallelograms. Find the measure of x.

 

उत्तर

\[\text{ In the parallelogram RISK }: \]
\[\angle ISK + \angle RKS = 180°  (\text{ sum of adjacent angles of a parallelogram is } 180°\]
\[\angle ISK = 180° - 120° = 60°\]
\[\text{ Similarly, in parallelogram CLUE }: \]
\[\angle CEU = \angle CLU = 70°(\text{ opposite angles of a parallelogram are equal })\]
\[\text{ In the triangle }: \]
\[x + \angle ISK + \angle CEU = 180°\]
\[x = 180° - \left( 70°+ 60° \right)\]
\[x = 180°- \left( 70°+ 60°\right) = 50°\] 

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 17: Understanding Shapes-III (Special Types of Quadrilaterals) - Exercise 17.1 [पृष्ठ १०]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 17 Understanding Shapes-III (Special Types of Quadrilaterals)
Exercise 17.1 | Q 6 | पृष्ठ १०

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