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Find the values of the variables in the parallelogram.

Find the values of the variables in the parallelogram.-example-1
User Darvex
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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°

User Volkan Ulukut
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