Question

One interior angle of a hexagon is 165° and the measure of remaining interior angle is ×° each then find out the measure of all the angles

Answer 1

The sum of the interior angles of a polygon is
$180(n - 2)$
where n=number of sides of any polygon
so,
the sum of the interior angles is
180(6-2)=720 degrees
so,
x+x+x+x+x+165=720
5x=720-165
5x=555
x=555/5
x=111 degrees
so the measure of each angle is 111 degree....
HOPE IT HELPS...

Answer 2

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