How to find an angle in a parallelogram

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Math › How to find an angle in a parallelogram

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In the parallellogram, what is the value of ?

Screen_shot_2013-07-15_at_9.42.14_pm

$130^{\circ}$

CORRECT

$120^{\circ}$

$110^{\circ}$

$135^{\circ}$

$145^{\circ}$

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°