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The formula to determine one exterior angle is given below.
Exterior angle interior angle. Angles c and d make a straight angle which is 180. D is the point on B C produced forming exterior angle 4. The sum of exterior angle and interior angle is equal to 180 degrees.
Furthermore the exterior angle is equal to the sum of the non-adjacent interior angle. Each vertex of the polygon corresponds to an interior angle and an exterior angle both of which are. A b c 180.
To determine the measures of the exterior angles we need the measure of at least one exterior or interior angle. D c 180. Let us take some examples to understand the concept better.
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. As you can see from the picture below if you add up all of the angles in a triangle the sum must equal 180. D a b.
Properties of exterior angles. S n 2 180 S n - 2 180. D c a b c.
4 1 2 ie A C D C. Determine whether the two angles are alternate or same side apply the apt properties and figure out the angle. If every internal angle of a simple polygon is less than 180 then the polygon is called convex.
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