How many sides does a polygon have if its interior angle is 140 degree?

Method 1: Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides. n = 9 sides. Hence the number of sides is 9 sides.

What polygon has an interior angle of 140?

regular nonagon
So, the measure of the angle of a regular nonagon is 140 degrees.

How many sides does a convex regular polygon have if each interior angle measures 90 degrees?

BRIAN M. The polygon will have 40 sides.

Does a convex polygon have equal angles?

In a convex polygon, all interior angles are less than or equal to 180 degrees, while in a strictly convex polygon all interior angles are strictly less than 180 degrees.

Can a regular polygon have interior angles of 140?

Answer: Each interior angle of a regular polygon = 140 deg. Hence the regular polygon has 360/40 = 9 sides.

How many degrees are in a nonagon?

1260°
Nonagon/Sum of interior angles

What is a nonagon shape?

A nine sided shape is a polygon called a nonagon. It has nine straight sides that meet at nine corners. The word nonagon comes from the Latin word “nona”, meaning nine, and “gon”, meaning sides. So it literally means “nine sided shape”.

How many sides has a regular polygon if each 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.

What is the sum of the interior angle measures of a convex nonagon?

1260
A nonagon has nine sides. Use the Polygon Interior Angles Sum Theorem to find the sum of its interior angle measures. = 7 ● 180 or 1260 Simplify. Answer: The sum of the measures is 1260.

Which polygons have all equal angles?

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

How many angles does a convex polygon have?

One interior angle of a convex polygon (a convex polygon is a polygon where all angles are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides does the polygon have? One interior angle of a convex polygon (a convex polygon is a polygon where all angles are less than 180 degrees) is 120 degrees.

What is the sum of the exterior angles of a polygon?

The exterior angle sum theorem states that the sum of the exterior angles of a convex polygon is 360°. If a convex polygon is regular with “n” number of sides, then each exterior angle of a convex polygon is measured as 360°/n.

How many sides does a regular polygon have?

Recall that the formula for the sum of the interior angles in a regular polygon is: In your case, since the sum of the interior angles is 720∘, then the formula must equal to 720∘. Hence, Since you are looking for n, the number of sides the polygon has, you must solve for n. Thus, Since n = 6, then the polygon has 6 sides.

How do you find the number of degrees in a polygon?

The number of sides minus two, the result multiplied by 180 degrees equals the total number of degrees in the regular polygon. The total number of degrees in the regular polygon divided by the number of sides (angles) is the number of degrees in each angle. N is the number of sides. 140 is the number of degrees in each angle.