Answer:
Explanation:
You want the values of x and y so the given figure is a parallelogram.
Parallelogram
A feature of a parallelogram is that opposite angles have the same measure. We can use the upper left and lower right angles to solve for x:
4x +13 = 5x -12
25 = x . . . . . . . . . . add 12-4x
We can use the other two angles to solve for y:
4y +7 = 3(25) -8 . . . use x=25
4y +7 = 67 . . . . . . . simplify
4y = 60 . . . . . . . . subtract 7
y = 15 . . . . . . . divide by 4
The values of x and y are 25 and 15, respectively.
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