Answer:
y = 10
x = 64
Step-by-step explanation:
the equations containing y are adjacent angles in a parallelogram, meaning that they are supplementary, so we can create an equation:
5y + 2 + 12y + 8 = 180
solve this to get y = 10
the equation for x would be 2x + 5y + 8 = 180 because these angles are also supplementary
solve this to get x = 64
<u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>
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- A polygon with 10 sides ( Decagon )
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<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
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- The value of one of the exterior angles
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<u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>
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<u>Solution</u><u> </u><u>:</u><u>-</u>
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Putting the given values, we get,
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Thus, the value of the exterior angles of a Decagon is 36°.
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