SOLUTION: how do you find the value of x in a four sided polygon with angle measures 130, 110, x-3 and x

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Question 402605: how do you find the value of x in a four sided polygon with angle measures 130, 110, x-3 and x
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"how do you find the value of x in a four sided polygon with angle measures 130, 110, x-3 and x"

A four-sided polygon is a quadrilateral, like a square or a rectangle.
In a quadrilateral, all of the interior angles add up to 360 degrees.

130 + 110 + x - 3 + x = 360 {added all the angles and set equal to 360}
2x + 237 = 360 {combined like terms}
2x = 123 {subtracted 237 from both sides}
x = 61.5 {divided both sides by 2}
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