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nikklg [1K]
3 years ago
8

If six angles of a heptagon have measures of 122, 153, 168, 105, 162, and 87, what is the measure of the seventh angle?

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0

Answer:

he seventh angles measure is 103

Step-by-step explanation:

Interior angles = (number of side in the polygon - 2) times 180.

So Heptagon interior angles = (7-2)(180) = 900

To find the missing angles add all the given angles together (122, 153, 168, 105, 162, and 87) = 797.

Now   The measure of the seventh angles = total angles measure - the six given angles,

  The seventh angles measure is 103  

   900 - 797 = 103

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Given that,

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To find total distance walked by Julian we have to add the above stated values. That is, \frac{6}{10} +\frac{35}{100} +\frac{1}{4}

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\frac{6\times10}{10\times10} +\frac{35\times1}{100\times1} +\frac{1\times25}{4\times1}\rightarrow\frac{60+35+25}{100}\rightarrow\frac{120}{100}

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Which can also be written as 1\frac{1}{5}.

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