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The Following Figure is Parallelogram. Find the Degree Values of the Unknown X, Y, Z. - Mathematics

The following figure is parallelogram. Find the degree values of the unknown xyz

 

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Solution

\[\text{ Opposite angles of a parallelogram are same } . \]
\[ \therefore x = y \text{ and } \angle RQP = 100°\] 
\[\angle PSR + \angle SRQ = 180°\]
\[y + 50°= 180°\]
\[x = 180°- 50°\]
\[x = 130°\]
\[ \therefore x = 130°, y = 130° \]
\[ \text{ Since y and z are alternate angles, z  }= 130° . \] 

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 17 Understanding Shapes-III (Special Types of Quadrilaterals)
Exercise 17.1 | Q 2.2 | Page 9
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