How many sides does a regular polygon have if each interior angles measures 156?

\[ = 15\] sides. Therefore, the number of sides of the polygon having the interior angle \[{156^ \circ }\] is \[15\] sides.

How many sides does a regular polygon have if each of its interior angle is 150 degree?

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.

What is the number of sides of a regular polygon whose interior angle is 157.5 o?

Each exterior angle of the regular polygon = 180°- 157.5° = 22.5°. Number of sides of a regular polygon is given by the formula 360°/ each exterior angle = 360/22.5 = 16. Hence the polygon has 16 sides. With the standard formula working backward, each angle of a polygon, 157.5°= (n-2)*180/n.

How many sides does a regular polygon have if each of its interior angle is 160 degree?

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 regular polygon have if the interior angle is 144?

It’s a polygon with 10 sides.

How many sides does a regular polygon have if each of its?

How many sides does a regular polygon have if each of its interior angles is 165 degree? Hint: We know that in a regular polygon if the interior angle is x then the exterior angle is (180-x) because it forms a linear pair. Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.

How many interior angles does a polygon have with 5 sides?

If a polygon has 5 sides, it will have 5 interior angles. Sum of all the interior angles of a polygon is equal to the product of a straight angle and two less than the number of sides of the polygon.

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.

How do you find out how many diagonals a polygon has?

To find out how many diagonals a polygon has, first count the number of sides, or straight lines, that make up the polygon. Then, subtract 3 from the number of sides. Next, multiply that number by the number of sides.

What is the difference between Polygon and regular shape?

The polygons are the closed shape that has sides and vertices. A regular polygon has all its interior angles equal to each other. For example, a square has all its interior angles equal to the right angle or 90 degrees. The interior angles of a polygon are equal to a number of sides.