If you enjoyed this post, why not get a free subscription to our website. The links below are to web pages which have a range of questions involving exterior angles. This video shows some examples that require algebra equations to solve for missing angle values. Here is another video which shows how to do typical Exterior Angle questions for triangles. The following video from YouTube shows how we use the Exterior Angle Theorem to find unknown angles. This final example shows an Exterior Angle question that requires the setting up and solving of Algebra Equations. In this next example we find the missing Interior Angle by using the Exterior Angle Theorem. This is the simplest type of Exterior Angles maths question. In this first example, we use the Exterior Angle Theorem to add together two remote interior angles and thereby find the unknown Exterior Angle. They call this rule a “Theorem”, which is just a fancy name for any shortcut rule we can use in Maths. The following example shows how we extend a typical triangle’s sides to create its three Exterior Angles.īased on the fact that the Interior Angles of all triangles add up to 180 degrees, and that the Exterior Angle and its partner angle also always add to 180 degrees, Mathematicians have been able to develop the rule shown in the diagram below. The Exterior Angles of a Triangle are formed by extending the sides of the Triangle, so that a 180 degree Supplementary Angle straight line is formed.Įvery Triangle has three Exterior Angles that match up with each of the three Interior Angles.Įach Exterior Angle sums with its adjacent Interior Angle to form a 180 degree straight line. In this lesson, we are not looking at the details of GPS Triangles, but rather the Exterior Angles which are formed when we extend the sides of any Triangle.Įxterior Angles can be used as part of GPS Calculations, but this mathematics is quite a bit more advanced than the basics we need to cover here. The actual mathematics is quite complicated, and uses 3D triangles, which form cone like Pyramids, and this is called “Trilateration”.įor an excellent overview of exactly how GPS works, check out the following web page: The mathematical process to work out the actual GPS location on earth uses “Triangulation” or “Trilateration”.īasically there are 24 GPS satellites orbiting the earth in fixed positions, so that any GPS unit will always be able to connect to at least three of the satellites at any time of the day or night.įrom these radio frequency connections, many triangles are formed, calculations performed, and the latitude, longtitude, and elevation, of the position on earth is determined. Triangles are also used in GPS Location and Navigation.Īny position on Earth that is beamed to three or more GPS Satellites creates unique distances which form triangles of known sizes. What we really like about this picture is the clever shading of the triangles to create various 3D effects throughout the drawing. Triangles can even be used in Art, as shown above in the great piece of artwork by Justin Windle from Soulwire.
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