A 45-degree angle looks like the bisection of a right angle. If one constructs a right angle by drawing one axis horizontally and the other axis vertically, a 45-degree angle is halfway between a flat slope and a vertical slope.
Continue ReadingOne way to create a 45-degree angle is to start with a straight line, then use a compass to create a perpendicular bisection, then finally create a bisection of the first straight line and the perpendicular bisection.
It is also possible to draw a 45-degree angle without a compass by using graph paper. Because a 45-degree angle has a slope of 1, one can create the angle by plotting points (x,y) starting from the origin (0,0) where x and y are the same value. For example, by plotting points (0,0), (1,1), (2,2) and so forth, and then drawing a straight line between these points, the line creates a 45-degree angle upward from the x-axis.
Learn more about GeometryA protractor is an inexpensive math tool used to measure the sharpness of an angle in a geometric shape. Reading a protractor is fairly simple.
Full Answer >The exterior angle theorem states that an angle exterior to a triangle equals the sum of the two angles not adjacent to it. The theorem’s basis derives from the fact that the sum of all the interior angles in a triangle equals 180 degrees.
Full Answer >An angle is formed by the union of two non-collinear rays that have a common endpoint. This endpoint is the vertex of the angle, and the two rays become the sides of this angle. These two rays can form different types of angles.
Full Answer >The common endpoint of the sides of an angle is called a vertex. For example, triangles have three vertices, while squares have four. These common endpoints are often colloquially called corner points, though this may result in confusing them with angles.
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