Pentagon what do the angles add up to

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Explanation : The perimeter in this question is irrelevant. There are six interior angles in a hexagon. Each angle will be a sixth of the total angle.

Therefore, the sum of three angles in a hexagon is:. Add four interior angles in a regular pentagon. What is the result? Explanation : Use the interior angle formula to find the total sum of angles in a pentagon. The sum of four interior angles in a regular pentagon is:. What is the sum of two interior angles of a regular pentagon if the perimeter is 6?

Explanation : The perimeter of a regular pentagon has no effect on the interior angles of the pentagon. Use the following formula to solve for the sum of all interior angles in the pentagon. Explanation : The pentagon has 5 sides. Divide this number by 5 to determine the value of each interior angle. Explanation : Area has no effect on the value of the interior angles of a pentagon.

To find the sum of all angles of a pentagon, use the following formula, where is the number of sides: There are 5 sides in a pentagon. Polygons: Properties of Pentagons. Sum of the Interior Angles of a Pentagon:. Regular Pentagons:. The properties of regular pentagons:. All sides are the same length congruent and all interior angles are the same size congruent. The measure of the central angles of a regular pentagon:. To find the measure of the central angle of a regular pentagon, make a circle in the middle Example Video Questions Lesson.

A pentagon is a 5-sided shape. Download PDF. The first step is to add the known angles together. Here is an example of finding more than one missing angle in a pentagon. In this example, the angles in the pentagon have lines on them. We could repeat this strategy here, partitioning the pentagon into a triangle and a quadrilateral, like so:.

But I want to do a slightly different version of this, which is easier to generalize to a polygon of any number of sides. I will still use the concept of dividing up the polygon into triangles.