Find x if the angles of a quadrilateral are 2x, 3x, 4x, and 5x

To solve this we are going to take advantage of the fact the the sum of the interior angles of a quadrilateral is always 360°. So, we can add up all our angles and set them equal to 360°:

Now, we just need to solve for :





We can conclude that the value of  in our quadrilateral is °, or we can conclude that  is approximately 25.7° (in decimal form).

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