Question 125654: In a regular hexagon, the angle measures are 5x-103, 2x+60, 7x-31, 6x-6 and 9x-100. What is the measure of x? I am confused as to how you find this since only 5 of the interior angle measures are given!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a regular hexagon, the angle measures are 5x-103, 2x+60, 7x-31, 6x-6 and 9x-100. What is the measure of x? I am confused as to how you find this since only 5 of the interior angle measures are given!
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The sum of the interior angles of an n-gon is (n-2)180.
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Your Problem:
For a hexagon that would be (6-2)*180 = = 720 degrees
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So add your angles and solve for x which is the 6th angle.
Cheers,
Stan H.
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