Interior Angles of a Pentagon

In geometry a pentagon is a five-sided polygon with five straight sides and five interior angles which add up to 540. Lets calculate the sum of the interior angles of a pentagon using the sum of interior angles formula S 180n-2 where n is the number of sides in a polygon.


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Answer the Questions in the spaces provided there may be more space than you need.

. Like all regular polygons all the sides must be the same length and all the angles must be the same measurement. What is the Sum of all Interior Angles of a Pentagon. Here n is 5 as the pentagon has 5 sides.

_____ Instructions Use black ink or ball-point pen. When the number of sides n is equal to 3 it is an equilateral triangle and when n 4 is is a square. Angles in Polygons Name.

Thus the sum of the interior. All sides are equal length placed around a common center so that all angles between sides are also equal. Irregular pentagons have five sides and five angles but neither the sides nor the angles are congruent.

You must show all your working out. Answer all Questions. Diagrams are NOT accurately drawn unless otherwise indicated.

Information The marks for each Question are shown in brackets use this as a. Hence sum is 180n-2 1805-2 180 3 540. Learn more about Pentagon Regular and Irregular Pentagons and their shape with Formulas Definitions Examples Properties Area Perimeter etc.

Regular pentagons have five congruent sides five congruent interior angles and five congruent exterior angles. A regular polygon is a polygon that is both equiangular and equilateral.


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