Question

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?

Answer 1

The sum of the interior angles of a hexagon is equal

$6\cdot\left(180^o-\dfrac{360^o}{6}\right)=6\cdot(180^o-60^o)=6\cdot120^o=720^o$

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°