How many degrees are in each interior angle of a regular pentagon?

How do you find the interior angle of a regular pentagon?

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles , we know that the sum of all the angles is 540 degrees (from above) And there are five angles So, the measure of the interior angle of a regular pentagon is 108 degrees.

What regular polygon has an interior angle of 150 degrees?

regular dodecagon

What polygon has an interior angle of 160 degrees?

If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360 /20 sides = 18 sides.

What is the formula for interior angles?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

What is an interior angle of a regular pentagon?

The General Rule

Shape Sides Sum of Interior Angles
Triangle 3 180°
Quadrilateral 4 360°
Pentagon 5 540°
Hexagon 6 720°

How many sides does a polygon have with an interior angle of 150?

12 sides

Can a regular polygon have interior angles of 125 degrees?

It impossible for a interior angle of a regular polygon to equal degrees . A polygon cannot have sides, so the angle can’t measure degrees .

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What is the sum of the interior angle of a hexagon?

720°

How many sides does a polygon have with an interior angle of 720?

6 sides

How many sides does a polygon have with an interior angle of 108?

Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5.

How many sides does a polygon have with an interior angle of 165?

24

What does sum of interior angles mean?

Sum of Interior Angles Formula This formula allows you to mathematically divide any polygon into its minimum number of triangles. Since every triangle has interior angles measuring 180° , multiplying the number of dividing triangles times 180° gives you the sum of the interior angles .

What is the sum of interior angles?

To find the sum of interior angles of a polygon , multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

What is the sum of the interior angle of a triangle?

180°

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