How To Find The Sum Of Interior Angles Of A Convex Polygon
900 600 300 1800 it works for this triangle.
How to find the sum of interior angles of a convex polygon. That knowledge can be very useful when youre solving for a missing interior angle measurement. The interior angles of any polygon always add up to a constant value which depends only on the number of sides. For example the interior angles of a pentagon always add up to 5400 no matter if it regular or irregular convex or concave or what size and shape it is. For example if you know the number of sides of a polygon you can figure out the sum of the interior angles.
Sum of interior angles of an n sided polygon. More elegant way to find the sum of the exterior angles of a convex polygon watch the next lesson. Most books discuss only one or two ways. Check out this tutorial to learn how to find the sum of the interior angles of a polygon.
Since there are 180 degrees in a triangle by multiplying the number of triangles in your polygon by 180 you can find the sum of the interior angles of your polygon. That depends on how many sides the polygon has. 800 700 300 1800 it still works. Now tilt a line by 100.
For example since you divided your hexagon into 4 triangles you would calculate 4 180 720 displaystyle 4times 180720 to find a total of 720 degrees in the interior of your polygon. Sum of interior angles. Polygons have all kinds of neat properties. Interior angles of polygons an interior angle is an angle inside a shape.
The sum of the interior angles of a convex polygon is 180n 2 degrees where n is the number of vertices and angles. Subtract 2 from the.
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