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How many sides does a polygon with interior angles of 170?

Posted on August 15, 2022 by Author

How many sides does a polygon with interior angles of 170?

The interior angle of a regular polygon is 170° more than the size of its exterior angle. How many sides does the polygon have? The sum of the two is 180°, and so the exterior angle is 5°. Therefore the polygon has 72 sides.

Is it possible to have a regular polygon whose interior angle is 170 degree?

Whose interior angle is 170° . Hence it is not possible to have a regular polygon having interior angle of 138°.

How many sides does a polygon have if each of its interior angles measures 140 degrees?

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 many sides does a polygon have if each of its exterior angles measures 9?

Since the angle measure given iin the questions s 40o , take 360o40o = 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

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Can a regular polygon have an interior angle of 156?

Regular polygon with interior angle = 156 deg. It has each exterior angle = 180–156 = 24 deg. No. of sides in regular polygon = 360/24 = 15.

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

30 sides
Therefore, there are 30 sides in the given regular polygon whose interior angle is \[{{168}^{\circ }}\].

Is it possible to have a regular polygon whose interior?

Polygons | Exercise 28(B) Hence, it is possible to have a regular polygon whose interiro angle is 135° . Hence, it is possible to have a regular polygon whose interior angle is 138°.

Is it possible for a regular polygon whose interior angle measures 124 degrees?

Therefore, no polygon is possible whose each interior angle is 124°.

Does a regular polygon have if each of its interior angle is 140 degree?

n = 9 sides.

How many interior angles does a regular polygon have?

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….Interior angles of Regular Polygons.

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Regular Polygon Name Each interior angle
Pentagon 108°
Hexagon 120°
Septagon 128.57°
Octagon 135°

How many sides a regular polygon have?

24 sides
Thus, the regular polygon has 24 sides.

How many sides does a regular polygon have if the exterior angle is 4?

Each exterior angle will be 180 – 90 = 90 degrees. We know the sum of exterior angles is 360 degrees. Therefore, the regular polygon has 4 sides.

How do you find the interior angle of a polygon?

Question 338826: A regular polygon has an interior angle of 170 degrees. how many sides does the polygone have? You can put this solution on YOUR website! Set this equal to 170 and solve for n. Multiply both sides by n. Simplify the right side. Subtract 170n from both sides. Add 360 to both sides. Finally, divide both sides by 10.

What is the measure of an angle of a regular polygon?

Th measure of an interior angle (a) of a regular polygon of n sides is given by: Set this equal to 170 and solve for n. Multiply both sides by n. Simplify the right side. Subtract 170n from both sides. Add 360 to both sides. Finally, divide both sides by 10. The regular polygon has 36 sides.

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How many sides does a polygon have?

The polygon will have 40 sides. were n is the number of angles and sides of the polygon. The polygon will have 40 sides. The interior angle and the exterior angle of a polygon are adjacent supplementary angles.

How many degrees are in a polygon?

A regular polygon has 150° as the size of each interior angle. How many sides does a polygon have? – Quora A regular polygon has 150° as the size of each interior angle.

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