Question

The following figure is parallelogram. Find the degree values of the unknown x, y, z. 

 

Answer 1

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