How many sides does a regular polygon have if one interior angle measures 150 degrees?

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 sides does a regular polygon have if each of its interior angle is 170 degree?

A regular polygon with each interior angle of 170 deg will have each exterior angle as 180–170 = 10 deg. Hence the number of sides in the regular polygon = 360/10 = 36 sides.

How many sides does a polygon have if the sum of the interior angles is 2340?

15 sides
If the sum of the measures of the interior angles of a polygon is 2340°, how many sides does the polygon have? Use the equation “sum of interior angles = (n – 2)180º ” to write an equation and solve for n. The solution is shown at right. Since n = 15, the polygon has 15 sides.

How many sides does a regular polygon have if each interior angle measures 140?

9
What is the name of a polygon whose interior angles are each 140°? Subtract both sides by 180°n. = 9. Therefore, the number of sides is 9 (nonagon).

How can the size of each interior angle of a regular polygon be determined if the number of sides is known?

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n.

How many sides does a regular polygon have if the measure of interior angle?

Thus, the regular polygon with interior angle each measuring \[165^\circ \] is a 24-sided polygon.

How many sides does a regular polygon have if each of its interior angle is 165 degree class 8?

24
Solution : Each interior angle is 165°. Therefore, the number of sides of the regular polygon is 24.

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

Answer: To find the number of sides of a polygon when given the sum of interior angles, we use the formula: Sum of interior angles = (n – 2) × 180, where n is the number of sides.

How many sides does a regular polygon have if the measure of its interior angle is 156ᵒ?

=> 180n – 360 = 156n . => n = 360/24 = 180/12 = 90/6 = 15 . => n = 15 sides. Therefore ,The polygon with each interior angle 156° has 15 sides.

What is the number of diagonals of a regular polygon?

The interior angles of a regular polygon measure 150 degree each. The number of diagonals of the polygon is For a n-sided regular polygon, Interior angle is given by, (180- 360/n). Given that interior angle = 150. => No. of diagonals = 6*9 = 54.

What is each interior angle of a regular n-sided polygon?

SOLUTION: Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have? Question 176831: Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?

How many angles does a 150 degree polygon have?

A regular polygon has angles of size 150 degrees each. How many sides has the polygon? The sum of the interior angles of a regular polygon is given by: Where n is the number of sides. If the sum of interior angles is S, then each angle is: We are given 150∘ for each angles. So, The polygon has 12 sides.