How to find an angle in a parallelogram - High School Math

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Question

In the parallellogram, what is the value of ?

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Answer

Opposite angles are equal, and adjacent angles must sum to 180.

Therefore, we can set up an equation to solve for z:

(z – 15) + 2z = 180

3z - 15 = 180

3z = 195

z = 65

Now solve for x:

2_z_ = x = 130°

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