Question

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

Answer 1

\[\text{ Opposite angles of a parallelogram are same } . \]
\[ \therefore x = z \text{ and } y = 100°\]
\[\text{ Also }, y + z = 180° (\text{ sum of adjacent angles of a quadrilateral is } 180°)\] 
\[z + 100°= 180°\]
\[x = 180° - 100°\]
\[x = 80°\]
\[ \therefore x = 80°e, y = 100° \text{ and } z = 80°\]