For instance, you can use a sine, cosine, or tan function to find the angles in a right triangle depending on which angle you’re calculating and which side lengths you know. All you have to do is click on the respective concept Geometry Calculator link and find the solution along with a detailed show work. In other cases, you may need to look up a formula or function that’s specific to the type of polygon you’re working with. Make use of the prevailing free online geometry calculator to calculate the standard 2D plane and 3D solid geometric shapes and trigonometric functions problems in less time. This will give you the number of degrees in the missing angle. If you know all the angles in the polygon but one, you can add the known angles up and subtract the sum from the total number of degrees of all the interior angles. If the polygon has irregular sides, your job is a little trickier. Each angle in the pentagon is 108 degrees. For instance, to calculate the angles in a regular pentagon, divide 540 degrees by 5 to get 108. If the polygon is regular-that is, if all the sides are the same length-then all you have to do is divide the total number of degrees of all the interior angles by the number of sides in the polygon. On the other hand, a quadrilateral, such as a square or a rectangle, would have (4 – 2) x 180 degrees, or a total of 360 degrees. So, a triangle would have (3 – 2) x 180 degrees, or 180 degrees total. In this formula, n is equal to the number of interior angles. Next, use the formula (n – 2) x 180 to find the total number of degrees of all the interior angles combined. ![]() For example, a triangle always has 3 angles, while a square or rectangle always has 4, and so on. A polygon has the same number of interior angles as sides. ![]() To calculate the angles inside a polygon, first count the number of interior angles.
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