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Name: Ms. Kinder Interior & Exterior Angles of Polygons Smart Start: Questions 14 Date: Period #
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How to fill out interior amp exterior angles
How to fill out interior and exterior angles:
01
Start by understanding the concept of interior and exterior angles. Interior angles are the angles formed on the inside of any closed figure, while exterior angles are the angles formed on the outside of the figure.
02
Identify the closed figure for which you need to fill out the interior and exterior angles. It could be a triangle, quadrilateral, pentagon, or any other polygon.
03
Measure one of the angles of the figure using a protractor or any other measuring tool. This will serve as a reference angle for determining the other angles.
04
Use the sum of interior angles formula to calculate the total sum of all interior angles of the figure. The formula for a polygon with n sides is (n-2) * 180 degrees. For example, if you are working with a triangle (3 sides), the total sum of interior angles would be (3-2) * 180 = 180 degrees.
05
Divide the total sum of interior angles by the number of sides in the figure to determine the measure of each interior angle. In the case of a triangle, each interior angle would be 180 / 3 = 60 degrees.
06
To find the measure of an exterior angle, subtract the measure of the corresponding interior angle from 180 degrees. In our triangle example, as each interior angle is 60 degrees, each exterior angle would be 180 - 60 = 120 degrees.
07
Repeat steps 3 to 6 for each angle of the figure to fill out the interior and exterior angles completely.
Who needs interior and exterior angles:
01
Students studying geometry: Interior and exterior angles are fundamental concepts in geometry. Students who are learning about polygons and their properties need to understand how to calculate and work with interior and exterior angles.
02
Architects and engineers: Interior and exterior angles are crucial for designing and constructing buildings and structures. Architects and engineers use these angles to determine the size and shape of various elements of a structure, ensuring structural stability and aesthetic appeal.
03
Surveyors and land planners: In surveying and land planning, knowledge of interior and exterior angles is essential for accurately measuring and dividing land into different plots or sections. These professionals use angles to establish property boundaries and ensure accurate land surveys.
04
Art and design professionals: Interior and exterior angles play a role in various art and design fields. Artists and designers may use these angles to create visually appealing compositions, determine perspectives, or calculate proportions.
05
DIY enthusiasts and craftsmen: When working on DIY projects or crafts that involve shapes and angles, understanding interior and exterior angles is necessary for accurate measurements and cutting materials at the correct angles for assembly.
Overall, anyone working with geometric shapes or in fields related to mathematics, architecture, engineering, surveying, art, design, or construction can benefit from understanding interior and exterior angles.
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What is interior & exterior angles?
Interior and exterior angles are angles formed inside and outside a polygon when two sides intersect.
Who is required to file interior & exterior angles?
Interior and exterior angles are geometric properties and do not need to be filed by anyone.
How to fill out interior & exterior angles?
Interior and exterior angles can be calculated using the formula (n-2) * 180 degrees, where 'n' is the number of sides in the polygon.
What is the purpose of interior & exterior angles?
The purpose of understanding interior and exterior angles is to analyze the properties of polygons and their corresponding angles.
What information must be reported on interior & exterior angles?
The information reported on interior and exterior angles includes the measurement of the angles and the properties of the polygon.
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