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OpenStudy (anonymous):
A commercial artist is desigining a logo for a local company. The shape of the logo is that of a regular polygon whose interior angles are each 144 degrees. How many sides does the logo have?
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OpenStudy (vera_ewing):
144n=(n-2)180 multiply 180 times both the n and the negative 2 144n=180n-360 subtract both sides by 180n so that the variable is on one side only: 144n-180n=180n-360-180n or -36n= -360 divide both sides by -36 n=10 the regular polygon has 10 sides
OpenStudy (anonymous):
Thank you so much!
OpenStudy (vera_ewing):
You're welcome! :-)
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