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Irina18 [472]
4 years ago
13

What is the value of z for the parallelogram shown? A.130 B.40 C.10 D.26

Mathematics
2 answers:
galben [10]4 years ago
7 0
Z=10 because the opposite side is 50 degrees so the 5z=50

If you solve, z=10
schepotkina [342]4 years ago
3 0

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,

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

5z^{circ}=50^{circ}

5z=50

Divide both sides by 5.

z=\frac{50}{5}

z=10

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

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Looking that the top and bottom triangles attached to the third rectangle shows us that the top and bottom of this shape are triangles, which matches the three sides.  

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Answer:

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==================================================

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