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VARVARA [1.3K]
3 years ago
9

Find the values of the variables in the parallelogram.

Mathematics
1 answer:
stepan [7]3 years ago
6 0

Step-by-step explanation:

We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°

To find y we know that the sum of interior angles of a triangle is 180°

y+109°+33°=180°

y+142°=180°

y=38°

Now,

x+38°+z=180

33+38+z=180

z=180-71=109°

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