We say that a polygon is a closed figure with three or more sides. If we talk about What is the Area of a Triangle, we say that a triangle is a closed figure or we call it a polygon with three sides. Here we observe that a triangle has three sides and so it has three angles. Also we must remember that the sum of Angles of triangles is 180 degrees. Thus if we have all the three angles equal, then each angle of the triangle = 180/3 = 60 degrees. Also try area of equilateral triangle calculator to sharpen your skills.
Now we will look at other polygons. Let us take a three sided figure, say a quadrilateral. We know that a quadrilateral is a four sided figure and it has 4 angles. We also must remember that a quadrilateral is formed by joining 2 triangles. Now if the sum of angles of a triangle is 180 degrees so we say that the sum of angles of a quadrilateral is 180 + 180 = 360 degrees. Thus all the quadrilaterals have an angle sum of 360 degrees.
Now a polygon can be any figure with 3 or more line segments and when we need to find the Angles of polygons, we must always remember the following formulas:
If the regular polygon is of sides ‘n’, then we sum of have:
1) Each exterior angle = 3600 / n.
2) Sum of all exterior angles of any polygon = 3600.
3) Also we have each interior angle = 1800 - (each exterior angle).
In case of complex polygon of n sides, we have the sum of all exterior angles = 4 right angles = 4 * 90 degrees = 360 degrees.
Also sum of all interior angles = (2*n -4) right angles.
These formulas will help us to find the angles of all the polygons.
In upcoming posts we will discuss about parallel lines cut by a transversal and Conditional probability. Visit our website for information on syllabus of economics for ICSE class 12
Now we will look at other polygons. Let us take a three sided figure, say a quadrilateral. We know that a quadrilateral is a four sided figure and it has 4 angles. We also must remember that a quadrilateral is formed by joining 2 triangles. Now if the sum of angles of a triangle is 180 degrees so we say that the sum of angles of a quadrilateral is 180 + 180 = 360 degrees. Thus all the quadrilaterals have an angle sum of 360 degrees.
Now a polygon can be any figure with 3 or more line segments and when we need to find the Angles of polygons, we must always remember the following formulas:
If the regular polygon is of sides ‘n’, then we sum of have:
1) Each exterior angle = 3600 / n.
2) Sum of all exterior angles of any polygon = 3600.
3) Also we have each interior angle = 1800 - (each exterior angle).
In case of complex polygon of n sides, we have the sum of all exterior angles = 4 right angles = 4 * 90 degrees = 360 degrees.
Also sum of all interior angles = (2*n -4) right angles.
These formulas will help us to find the angles of all the polygons.
In upcoming posts we will discuss about parallel lines cut by a transversal and Conditional probability. Visit our website for information on syllabus of economics for ICSE class 12
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