Answer:
The correct option is C. The value of z is 10.
Step-by-step explanation:
According to the property of parallelogram, then opposite interior angles of a parallelogram are equal.
From the given graph it is clear that in parallelogram ABCD, angle A and angle C are opposite interior angles.
Using the property of parallelogram,
[tex]\angle A=\angle C[/tex] (opposite interior angles of a parallelogram)
[tex]5z^{circ}=50^{circ}[/tex]
[tex]5z=50[/tex]
Divide both sides by 5.
[tex]z=\frac{50}{5}[/tex]
[tex]z=10[/tex]
The value of z is 10. Therefore the correct option is C.
