Question

What is the value of z for the parallelogram shown?

A.130
B.40
C.10
D.26

Answer 1

z=10 because the opposite side is 50 degrees so the 5z=50

If you solve, z=10

Answer 2

The correct option is C. The value of z is 10.

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,

`\angle A=\angle C` (opposite interior angles of a parallelogram)

`5z^(circ)=50^(circ)`

`5z=50`

Divide both sides by 5.

`z=(50)/(5)`

`z=10`

The value of z is 10. Therefore the correct option is C.