The formula for the sum of the interior angles of a shape with n sides is:
180 * (n - 2)
So, for a 31 sided shape, the sum of the interior angles is 180 * 29 = 5,220.
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The easiest way to calculate this is to use the facts thatthe sum of the interior and exterior angles is 180o; andthe sum of the exterior angles of any polygon is 360o.For a regular polygon, each exterior angle will be 360o divided by the number of sides. The interior angle is then 180o - the exterior angle.For a 31-gon:exterior_angle = 360° ÷ 31= 1119/31o⇒ interior_angle = 180° - 1119/31o= 16812/31°≈ 168.39oUse the Interior Angle Formula directlyThe sum of interior angles for a polygon of n sides is (n-2) x 180° and individual angles for a regular polygon will be (n-2) 180°/nPlugging in the value n=31, we have one angle = 29(180)/31 = 168.39°
31!
Supplementary angles are angles that add up to 180 degrees, ie. a straight angle. Therefore, the angle supplementary to 101 degrees would be 180-101=79 degrees.
The four angles must up to 360 degrees, so you just subtract 360 - (31 + 83 + 146).
Factors of 31: 1, 31Factors of 93: 1, 3, 31, 93GCF (31, 93) = 31