To solve for the unknown side of the 7 sided polygon, you can use the formula for the sum of the interior angles of a polygon: (n-2) * 180, where n is the number of sides of the polygon.
In this case, the sum of the interior angles of a 7 sided polygon is (7-2) * 180 = 900 degrees.
Now, you can add up the given angles to find the sum of the known angles: 140 + 133 + 145 + 117 + 119 + 125 = 779 degrees.
To find the measure of the unknown angle, subtract the sum of the known angles from the sum of the interior angles of the polygon: 900 - 779 = 121 degrees.
Now that you have the measure of the unknown angle, you can use trigonometry to find the length of the unknown side. You can set up a right triangle with the unknown side as the hypotenuse and use the given angle and side lengths to find the unknown side using trigonometric functions such as sine, cosine, or tangent.
For example, if the unknown angle is adjacent to a side of length x, you could use the cosine function: cos(121) = adjacent side / x. Solve for x to find the length of the unknown side.
how do i solve for x with a 7 sided polygon with angles of 140, 133,145,117,119,125, and 1 unknown side?
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1 answer