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const2013 [10]
1 year ago
7

What value of x would make the figure below a parallelogram? please show your work!​

Mathematics
1 answer:
lara31 [8.8K]1 year ago
8 0

Answer:

x = 8

Step-by-step explanation:

Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.

16x-4 + 7x = 180, combine like terms

23x - 4 = 180, add 4 on both sides (isolate variable)

23x = 184, divide 23 on both sides

x = 8

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