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If the measures of five interior angles of a hexagon are 133 , 111 , 92 , 153 , and 109 , what is the measure of the other interior angle?

1 Answer

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The sum of the interior angles of a hexagon is equal


6\cdot\left(180^o-(360^o)/(6)\right)=6\cdot(180^o-60^o)=6\cdot120^o=720^o

Calculatle the measure of the other interior angle:


720^o-(133^o+111^o+92^o+153^o+109^o)=720^o-598^o=122^o

Answer: 122°
User Sean E
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