SOLUTION: 4 sided polygon with angles of 20x, 8(2x+9degrees), 36x . Determine the value of angle x

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Question 1205790: 4 sided polygon with angles of 20x, 8(2x+9degrees), 36x . Determine the value of angle x
Found 3 solutions by josgarithmetic, MathLover1, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
4+sided polygon with angles of
20x, 8%282x%2B9%29, 36x+

the sum of interior angles is always equal to 360 degrees

you got the measures of three angles, so the measure of the fourth angle is
360-%2820x%2B8%282x%2B9%29%2B36x%29=72+%284+-+x%29

the sum of all angles will be
360=%2820x%2B8%282x%2B9%29%2B36x%29%2B72+%284+-+x%29.....solve for x
360=72x+%2B+72%2B288+-+72+x
360=360

so, the statement above will be true for ANY value of+x

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.
4 sided polygon with angles of 20x, 8(2x+9degrees), 36x . Determine the value of angle x
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Regarding your problem, I have two messages for you.

First message is that the problem's formulation in the post is FATALLY DEFECTIVE, or FATALLY INCOMPLETE.
With this formulation, the problem can not be solved.


Second message is that the "solution" in the post by @MathLover1 is INCORRECT.
Simply ignore her post, for safety of your mind.