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All the Angles of a Quadrilateral Are Equal to Each Other. Find the Measure of Each. is the Quadrilateral a Parallelogram? What Special Type of Parallelogram is It? - Mathematics

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Question

All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?

Solution

\[\text{ Let the angle be x }. \]

\[\text{ All the angles are equal .} \]

\[ \therefore x + x + x + x = 360°\] 

\[4x = 360°\]

\[x = 90°\]

\[\text{ So, each angle is 90°and quadrilateral is a parallelogram . It is a rectangle } .\] 

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Chapter 17: Understanding Shapes-III (Special Types of Quadrilaterals) - Exercise 17.1 [Page 11]

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RD Sharma Mathematics [English] Class 8
Chapter 17 Understanding Shapes-III (Special Types of Quadrilaterals)
Exercise 17.1 | Q 14 | Page 11

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