Question 1103921: Find the measure of angle E.
image of a nine-sided polygon whose nine interior angles are labeled
5 x, 6 x minus 1, 7 x plus 6, 5 x plus 5, 6 x plus 4, (7 x plus 9 - this is angle E) 7 x minus 35, 8 x minus 15, and 4 x plus 12
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the measure of angle E.
image of a nine-sided polygon whose nine interior angles are labeled
5 x, 6 x minus 1, 7 x plus 6, 5 x plus 5, 6 x plus 4, (7 x plus 9 - this is angle E) 7 x minus 35, 8 x minus 15, and 4 x plus 12
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The sum of the nine angles is (9-2)*180 = 7*180 = 1260
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Equation::
5x + 6x-1 + 7x+6 + 5x+5 + 6x+4 + 7x+9 = 1260
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36x + 23 = 1260
36x = 1237
x = 34.36 degrees
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Ans: 7x+9 = 7*34.36+9 = 249.53 degrees
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Cheers,
Stan H.
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