SOLUTION: An irregular eight sided polygon has three of its interior angles equal to 2x each,four angles equal to x each and one angle equal to 100 degrees.Calculate the value of x
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Question 1076747: An irregular eight sided polygon has three of its interior angles equal to 2x each,four angles equal to x each and one angle equal to 100 degrees.Calculate the value of x
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
For an N-sided polygon, the interior angles sum to (N-2)*180 degrees (think about how many triangles you can draw inside the N-sided polygon).
You have N=8 so the interior angles sum to (6*180) = 1080 degrees.
"three of its interior angles equal to 2x each,four angles equal to x each and one angle equal to 100 degrees"
means:
3(2x) + 4(x) + 100 = 1080
Can you solve for x?
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