If it is a regular pentagon all its sides are of equal length. Subtract 135n from both sides of the equation.
A regular pentagon has five lines of reflectional symmetry and rotational symmetry of order 5 through 72 144 216 and 288.
How many sides does a regular pentagon have. Each interior angle of a regular convex n gon has a measure of. The angles of every pentagon amount to 540 0. Divide both sides of the equation by 45.
By signing up you ll get thousands of. A regular pentagon has all equal sides and angles. Math frac n 2 180 n math so in this question math frac n 2.
In a regular pentagon its interior angles are 108 degrees and its exterior angles are 72 degrees. Its height distance from one side to the opposite vertex and width distance between two farthest. In euclidean geometry a regular polygon is a polygon that is equiangular all angles are equal in measure and equilateral all sides have the same length.
In an irregular pentagon. If you know this you can easily answer how many sides there are in a pentagon. The diagonals of a convex regular pentagon are in the golden ratio to its sides.
Because every polygon can be broken into triangles you can use the sum of the interior angles of a polygon formula to solve for the number of sides of your polygon. Both shapes on the picture below are pentagons. Each interior angle of a regular polygon measures 135.
First assume the polygon has n sides then it would also have n interior angles. If an interior angle of a regular polygon measures 144 how many sides does the polygon have. The first one is regular.
First set the formula for each interior angle equal to the number of degrees given. This formula is n 2 180 degrees. In a regular pentagon each angle measures 108 0.
Multiply 180 by n 2. The angles of a pentagon add up to 540 degrees. A pentagon 3 has five sides.
The pentagon s sides need to be straight. Regular polygons may be either convex or star in the limit a sequence of regular polygons with an increasing number of sides approximates a circle if the perimeter or area is fixed or a regular apeirogon effectively a straight line. How many sides does the polygon have.
A regular pentagon has schläfli symbol 5 and interior angles are 108. Say the polygon has n sides. If any of them are curved then the shape does not qualify as a pentagon.