the sum of the angles in an ngon (a polygon with n sides) is (n-2)*180
so an octagon has 8 sides and has a sum total of (8-2)*180=1080 degrees
if each of 7 angles is 132, then 1080=?+7*132
1080=?+924
156=?
the 8th angle is 156 degrees
The value of the eighth angle will be 156°.
An octagon has 8 sides, therefore, the total value of its angles will be:
= (n - 2) × 180°
= (8 - 2) × 180°
= 6 × 180°
= 1080°
Since sum of seven angles of an octagon is 132 degrees each, then the sum of the 7 angles will be:
= 132 × 7 = 924°
Therefore, the value of the eighth angle will be:
= 1080° - 924°
= 156°
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