Question: How Many Sides Does A Polygon Have With An Interior Angle Of 140?

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

12 sidesIf each angle of a regular polygon measures 150°, then the polygon has 12 sides..

How many sides does a polygon have with an interior angle of 135?

eight sidesAnswer. It is a octagon ( eight sides ). so, 1080/ 8 = 135° .

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

6 sidesIf in a regular polygon, each interior angle = 120 deg, then each exterior angle = 180–120 = 60 deg. So the polygon has 360 deg/60 deg = 6 sides. The figure is a regular hexagon.

How do you know if a polygon is convex?

Here’s a test to check if a polygon is convex. Consider each set of three points along the polygon. If every angle is 180 degrees or less you have a convex polygon. When you figure out each angle, also keep a running total of (180 – angle).

What regular polygon has an interior angle of 135?

octagonBecause the octagon is regular, all of its sides and angles are congruent. Thus, the measure of each angle is equal to the sum of its angles divided by 8. Therefore, each angle in the polygon has a measure of 1080/8 = 135 degrees. This means that angle FHG has a measure of 135 degrees.

What is the measure of an interior angle in a regular polygon with 15 sides?

Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.

How many sides does a polygon have with an interior angle of 162?

20 sides1 Answer. If all interior angles are 162o , polygon has 20 sides.

How many sides does a regular polygon have if the interior angle is 30?

12 sidesAnyway, we can name the number of sides s and the number of angles a . Because every polygon has the same number of sides and angles (because they are closed figures with non-intersecting lines), a=s . Since all the angles are congruent, 30a=360 , and a=12 . Since a=s , s=12 , so the polygon has 12 sides.

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

**The students should see the pattern of numbers from the 1st column to the 4th column.Number of SidesName of PolygonSum of interior angles3Triangle180 degrees4Quadrilateral360 degrees5Pentagon540 degrees6Hexagon720 degrees6 more rows

How many sides does a polygon with an interior angle of 160 have?

18 sidesAnswer and Explanation: Hence, it has 18 sides.

What is the sum of the interior angles of a regular polygon with 5 sides?

The General RuleShapeSidesSum of Interior AnglesTriangle3180°Quadrilateral4360°Pentagon5540°Hexagon6720°6 more rows

Which regular polygon has interior angles of 150 degrees?

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

How many sides does a regular polygon have if the interior angle is 140?

9 sidesMethod 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.

What polygon has an interior angle of 140 degrees?

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

How many sides does a polygon have with an interior angle of 144?

Decagon Definitions A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440° .

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

Answer. 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.

What is the formula for the sum of interior angles in a polygon?

(n-2)x 180 degrees : The formula for finding the sum of all angles in a polygon (REGULAR).

How many sides does a polygon have with an interior angle of 168?

30 sidesMaths keeps one mentally active. If each interior angle of a regular polygon = 168 deg, then each exterior angle = 180–168 = 12 deg. So the regular polygon has 360/12 = 30 sides.