Which of the following Are Exterior Angles?

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There are four types of angles: right angles, acute angles, obtuse angles, and straight angles. Right angles are the most common type of angle. They are formed when two lines intersect at a 90 degree angle. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees. Straight angles are 180 degrees.

Exterior angles are the angles that are on the outside of a shape. They are formed by the two sides of a shape that touch at a vertex. To find the exterior angle of a shape, you need to know the value of the interior angles. The exterior angle will be the complimentary angle to the interior angle. For example, if the interior angle is 60 degrees, the exterior angle will be 30 degrees.

There are a few different types of shapes that have exterior angles. Triangles have three exterior angles. Quadrilaterals have four exterior angles. Pentagons have five exterior angles. And so on.

To find the measure of an exterior angle, you need to use the formula:

Exterior Angle = 360 - Interior Angle

For example, if you have a triangle with interior angles that measure 60 degrees, 70 degrees, and 50 degrees, you can find the measure of the three exterior angles using the formula.

Exterior Angle 1 = 360 - 60 = 300 degrees Exterior Angle 2 = 360 - 70 = 290 degrees Exterior Angle 3 = 360 - 50 = 310 degrees

As you can see, the exterior angles of a triangle always add up to 360 degrees. This is also true for all polygons. The sum of the measures of the exterior angles of any polygon is 360 degrees.

What is an exterior angle?

An exterior angle of a polygon is an angle formed by one side of the polygon and the extension of an adjacent side. The exterior angle is the supplement of the interior angle.

The exterior angle has two parts: the side and the extension of the adjacent side. The side is the part of the angle that is not adjacent to the vertex. The extension is the part of the adjacent side that extends past the vertex.

The exterior angle is the supplement of the interior angle. The interior angle is the angle formed by the two sides of the polygon that meet at the vertex. The exterior angle is the angle formed by the side of the polygon and the extension of the adjacent side.

To find the measure of the exterior angle, we first need to find the measure of the interior angle. The interior angle can be found by adding up the angles of the triangle that form the polygon. Once we have the measure of the interior angle, we can subtract it from 360° to find the measure of the exterior angle.

The exterior angle has two parts: the side and the extension of the adjacent side. The side is the part of the angle that is not adjacent to the vertex. The extension is the part of the adjacent side that extends past the vertex.

We can find the measure of the exterior angle by subtracting the measure of the interior angle from 360°.

The exterior angle has two parts: the side and the extension of the adjacent side. The side is the part of the angle that is not adjacent to the vertex. The extension is the part of the adjacent side that extends past the vertex.

We can find the measure of the exterior angle by subtracting the measure of the interior angle from 360°.

How is an exterior angle formed?

An exterior angle of a polygon is formed by extending one of the sides of the polygon. The angle formed between the extended side and the adjacent side is the exterior angle. The measure of an exterior angle is the supplement of the interior angle formed by the two adjacent sides.

What is the relationship between an exterior angle and the interior angles of a polygon?

There are a few different types of polygons, but they all have one thing in common: they are made up of straight lines. That being said, the relationship between an exterior angle and the interior angles of a polygon can be different depending on the type of polygon. For example, a regular polygon has all sides that are the same length and all angles that are the same size. In this type of polygon, the exterior angle is always equal to the interior angle. However, in an irregular polygon, the sides and angles can be different sizes, which means that the relationship between the exterior angle and the interior angle can vary. In general, though, the exterior angle of a polygon is always larger than the interior angle.

How do you calculate the measure of an exterior angle?

An exterior angle of a polygon is formed by extending one of the sides of the polygon. The measure of the exterior angle is the number of degrees in the angle formed.

To calculate the measure of an exterior angle, you need to know the number of sides the polygon has and the measure of one interior angle. The interior angle is the angle formed by two adjacent sides of the polygon.

The number of degrees in an interior angle can be found by dividing the number of 360 degrees in a circle by the number of sides the polygon has. For example, a polygon with 6 sides has 360 degrees divided by 6, which equals 60 degrees.

Once you know the number of degrees in an interior angle, you can find the number of degrees in an exterior angle by subtracting the interior angle from 180 degrees. For example, if the interior angle is 60 degrees, the exterior angle would be 180-60, or 120 degrees.

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

The sum of the measures of the exterior angles of a polygon is 360 degrees. This is true for any polygon, regardless of the number of sides. To see why this is true, consider a polygon with n sides. Each exterior angle will measure 180 degrees/n. So if there are 5 sides, each exterior angle will measure 180/5=36 degrees. The total sum of all the exterior angles will then be 360 degrees.

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

An exterior angle of a regular polygon is the angle between any two sides of the polygon that share an endpoint. The measure of an exterior angle of a regular polygon is 360 degrees divided by the number of sides of the polygon. For example, a regular hexagon has six sides, so its exterior angles each measure 360 degrees divided by 6, or 60 degrees.

What is the measure of an exterior angle of an equilateral triangle?

An equilateral triangle is a three-sided polygon with three equal sides and three equal angles. Each angle is 60 degrees. The measure of an exterior angle of an equilateral triangle is 60 degrees.

What is the measure of an exterior angle of an isosceles triangle?

The measure of an exterior angle of an isosceles triangle is the same as the measure of the corresponding interior angle. This is because the two angles are supplementary.

What is the measure of an exterior angle of a right triangle?

A right triangle is a triangle in which one of the angles is a right angle. The other two angles are called the acute angles. The measure of an exterior angle of a right triangle is the measure of the angle formed by one of the acute angles and the side opposite it. The measure of an exterior angle of a right triangle is the sum of the measures of the two interior angles.

Frequently Asked Questions

What is the measure of the exterior angles of a triangle?

The measure of the exterior angles of a triangle is 180°.

What are the interior and exterior angles of a regular polygon?

The interior angles are 125 degrees, and the exterior angles are 135 degrees.

What is the sum of an interior angle and its corresponding angle?

The sum of an interior angle and its corresponding angle is always 180 degrees since they lie on the same straight line.

What are interior and exterior angles in geometry?

An interior angle is an angle formed within a shape and an exterior angle is an angle formed between any side of a shape and a line extended from the adjoining side.

What is the exterior angle of a polygon?

The exterior angle of a polygon is the angle between any side of a shape, and a line extended from the next side.

Mollie Sherman

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Mollie Sherman is an experienced and accomplished article author who has been writing for over 15 years. She specializes in health, nutrition, and lifestyle topics, with a focus on helping people understand the science behind everyday decisions. Mollie has published hundreds of articles in leading magazines and websites, including Women's Health, Shape Magazine, Cooking Light, and MindBodyGreen.

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