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The Measure of One Angle of a Parallelogram is 70°. What Are the Measures of the Remaining Angles? - Mathematics

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प्रश्न

The measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles? 

उत्तर

\[\text{ Given that one angle of the parallelogram is } 70° . \]
\[\text{ Since opposite angles have same value, if one is }70° , \text{ then the one directly opposite will also be } 70° . \] 
\[\text{ So, let one angle be }x° . \]
\[x° + 70° = 180° (\text{ the sum of adjacent angles of a parallelogram is } 180° )\] 
\[x° = 180° - 70° \]
\[x° = 110° \]
\[\text{ Thus, the remaining angles are }110° , 110° \text{ and }70° . \] 

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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 9 | पृष्ठ १०

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