What polygon has an exterior angle of 10 degrees

BRIAN M. The polygon would have 36 sides.

How many sides does a 10 degree polygon have?

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° .

What is the interior angle of a 10 sided polygon?

The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440. We found this by using the formula (n-2)(180). Thus, to find the measure of each interior angle we simply divide the sum by the number of total sides in the polygon. 1,440/10 = 144.

How do you find the exterior angle of a 10 sided polygon?

Since each exterior angle and interior angle form a linear pair, one exterior angle of a decagon = 180 – 144 = 36°. We know that a decagon had 10 exterior angles, so, 10 × 36 = 360°.

What is the polygon of exterior angle?

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

How do you find exterior angles of a polygon?

To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.

What is the size of one exterior angle of a decagon?

Interior angle144°Exterior Angle36°Area7.694s2 approx

What is a 10-sided polygon?

In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, “ten angles”) is a ten-sided polygon or 10-gon. The total sum of the interior angles of a simple decagon is 1440°.

What is the exterior angle of a pentagon?

Answer: The measure of each exterior angle of a regular pentagon is 72° A regular pentagon has all angles of the same measure and all sides of the same length.

What is outer angle?

The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. Another example: When we add up the Interior Angle and Exterior Angle we get a straight line 180°. They are “Supplementary Angles”.

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What is the angle sum of a convex polygon with 10 sides?

Answer: The sum of angles in a convex 10-sided polygon is equal to 1440°. We will use the shape of the decagon to find the sum of angles.

What polygon has an exterior angle of 30?

Since all the angles are congruent, 30a=360 , and a=12 . Since a=s , s=12 , so the polygon has 12 sides. (This polygon has a short name: a dodecagon).

Do exterior angles add up to 360?

Summed, the exterior angles equal 360 degreEs. A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees.

What is the sum of all exterior angle of any polygon?

Sal demonstrates how the the sum of the exterior angles of a convex polygon is 360 degrees.

What's a 12 sided polygon?

A dodecagon is a 12-sided polygon. Several special types of dodecagons are illustrated above. In particular, a dodecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular dodecagon.

What is the measure of an exterior angle of a regular decagon enter your answer in the box?

10n = 360 Solve for n. n = 36 The measure of each exterior angle of a regular decagon is 36.

How does a nonagon look like?

It has four equal sides and four right angles, each measuring 90 degrees. A regular nonagon is a nine-sided shape with equal sides and equal angles of 140 degrees each. Each interior angle measure of a regular nonagon is 140 degrees.

Is nonagon a polygon?

In geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation, from Latin (nonus, “ninth” + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century.

Can it possible that the exterior angle of a polygon be 13?

The sum of the exterior angles of a regular polygon is 360 degrees. … Since a fraction of a side is not possible, there cannot be a regular polygon whose exterior angle is 32 deg. The figure will have to be an irregular polygon with 10 angles of 32 deg and the one last angle as 40 degrees.

What is exterior angle property?

What is the Exterior Angle Property? An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. The sum of the exterior angle and the adjacent interior angle that is not opposite is equal to 180º.

What is the measure of an exterior angle of a 12 sided polygon?

Explanation: For a regular n -gon, the measure of an exterior angle is 360˚n . Since a dodecagon has 12 sides, an exterior angles is 360˚12=30˚ .

What is an example of a decagon?

Decagons can be commonly seen in various things in the surroundings, such as coasters, coins, umbrellas, drums, watches, cutlery etc. Also, a decagon is an intriguing form of polygons and is widely used while doing wall art.

What is exterior angle property class 7?

An exterior angle of a triangle is equal to the sum of the opposite interior angles. In the above figure, ∠ACD is the exterior angle of the Δ ABC.

What is exterior angle property class 9?

What is the exterior angle property? If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

How many sides does a regular polygon have whose exterior angle measure is 15?

The polygon has 24 sides.

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

If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

What is the number of diagonals of a regular polygon with 10 sides?

A regular decagon has 10 vertices and 35 diagonals. The diagonals of a decagon are found by using the formula n(n-3) ÷ 2, where n is a number of sides that is 10. So, 10(10-3) ÷ 2 = 35.

What is the maximum exterior angle possible for a regular polygon?

Therefore, the maximum exterior angle possible for a regular polygon is 120°.

Which polygon has an exterior angle of 40?

A regular polygon with exterior angles of 40o would have 9 side and be a nonagon.

How many degrees are in each exterior angle of a 28 side figure?

Measure of each exterior angle of a 28 gone = 360°/n. = 360°/28. = 90°/7 = 12.86°. Answer.

How many sides does a regular polygon with 45 exterior angles have?

Given that Exterior angle = 45° Let number of sides = n In a regular Polygon Sum of the exterior angles = 360° Exterior Angle × Number of sides = 360° 45° × n = 360° n = 360″°” /45″°” n = 8 ∴ Polygon has 8 Sides.