How many sides does a regular polygon have if the interior angle is 160?

Step-by-step explanation: 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.

How many sides does a polygon have if each interior angle is 120?

6 sides
Answer: If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon). Let us solve it step by step. Explanation: Given that, one interior angle is 120 degrees.

How many interior angles does a Dodecagon have?

12 angles
Dodecagon is a 12-sided polygon with 12 angles and 12 vertices. The sum of the interior angles of a dodecagon is 1800°. The perimeter of a dodecagon is calculated with the formula: s × 12.

How many sides does a regular polygon have if each interior angle is 162?

20
The number of sides of a regular polygon, if each of its interior angles is 162° is 20.

What regular polygon has an interior angle of 150 degrees?

regular dodecagon
So, the measure of the interior angle of a regular dodecagon is 150 degrees.

How many sides does a 162 degree polygon have?

Solution: Given: Each interior angle of a polygon is 162°. We know that the sum of an interior angle and an exterior angle of a polygon is equal to 180°. Hence, the number of sides of the given polygon is 20.

What is the sum of the interior angles of a dodecagon?

1800°
Dodecagon/Sum of interior angles

How many sides does a regular polygon have if the interior angle is 162?

Summary: The number of sides of a regular polygon, if each of its interior angles is 162° is 20.

How many sides does a regular polygon have if the interior angle is 150?

12
Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.

How many interior angles does a polygon with 3 sides have?

A polygon with three sides has 3 interior angles, a polygon with four sides has 4 interior angles and so on. Sum of all the interior angles of a polygon with ‘p’ sides is given as:

How do you find the sum of interior angles of a polygon?

Sum of the Interior Angles of a Polygon = 180 (n-2) degrees. As we know, there are different types of polygons. Therefore, the number of interior angles and the respective sum of angles is given below in the table. Polygon Name. Number of Interior Angles. Sum of Interior Angles = (n-2) x 180°. Triangle.

Do regular and irregular polygons have the same interior angles?

Though the sum of interior angles of a regular polygon and irregular polygon with the same number of sides the same, the measure of each interior angle differs. In case of regular polygons, the measure of each interior angle is congruent to the other. However, in case of irregular polygons, the interior angles do not give the same measure.

What is the sum of interior angles of a regular pentagon?

For a regular pentagon, each angle will be equal to: 540°/5 = 108° 108°+108°+108°+108°+108° = 540° Sum of Interior angles of a Polygon = (Number of triangles formed in the polygon) x 180°