# In a parallelogram, one angle is 2/5th of the adjacent angles. Determine the angles of the parallelogram. Let the adjacent angles be 2x Let the other angle be y Accordingly, y=6/5∗2x What is next?

In a parallelogram, one angle is $2/5th$ of the adjacent angles. Determine the angles of the parallelogram.
Let the adjacent angles be $2x$
Let the other angle be $y$
Accordingly, $y=6/5\ast 2x$
What is next?
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Lorenzo Acosta
You have the following equations. First, if we call $x$ and $y$ the different angles that you can find in the parallelogram.
$2x+2y=360$
And then the relation between $x$ and $y$ reads:
$\frac{2x}{5}=y$
You can get the answer from here.
$x=\frac{900}{7}\phantom{\rule{2em}{0ex}}y=\frac{360}{7}$
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In a parallelogram, addition of $2$ adjacent angles always produces $\pi$. If any of the adjacent angles(the angles to the clockwise and the anti-clockwise direction to any angle $\mathrm{\angle }A$ are mutually equal) is x, then the angle in question is $\frac{2x}{5}$.