Understanding the concept of exterior angles is crucial in geometry, especially when dealing with polygons. If you’re searching for “exterior angle meaning in Hindi,” you’ve come to the right place. This guide will provide a clear and detailed explanation of exterior angles, their properties, and their significance in various geometrical contexts. We’ll explore how they relate to interior angles and how they can be used to solve practical problems.
What is an Exterior Angle?
An exterior angle of a polygon is formed by extending one of its sides and the adjacent side. It’s the angle between the extended side and the adjacent side of the polygon. In simpler terms, it’s the angle “outside” the polygon at each vertex. The concept applies to all types of polygons, from triangles and quadrilaterals to more complex shapes.
Exterior Angle Meaning in Hindi: बाह्य कोण (Bahya Kon)
The Hindi term for exterior angle is बाह्य कोण (Bahya Kon). बाह्य (Bahya) means external or outer, and कोण (Kon) means angle. Therefore, बाह्य कोण directly translates to “outer angle.”
Relationship Between Exterior and Interior Angles
Exterior and interior angles at the same vertex are supplementary, meaning they add up to 180 degrees. This relationship is fundamental to understanding and calculating angle measurements in polygons.
Sum of Exterior Angles of a Polygon
A key property of exterior angles is that the sum of the exterior angles of any polygon is always 360 degrees. This property holds true regardless of the number of sides the polygon has. This makes it a powerful tool for solving various geometric problems.
How to Calculate the Measure of an Exterior Angle
Knowing that the sum of exterior angles is always 360 degrees, we can easily calculate the measure of each exterior angle in a regular polygon (a polygon with all sides and angles equal). Simply divide 360 by the number of sides of the polygon.
Example: A regular hexagon has six sides. Therefore, each exterior angle measures 360/6 = 60 degrees.
Exterior Angle Theorem
The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. This theorem provides another useful tool for solving triangle-related problems.
Practical Applications of Exterior Angles
Understanding exterior angles is essential in various fields, including:
- Architecture: Calculating roof angles and designing building structures.
- Engineering: Determining angles in mechanical designs and constructions.
- Surveying: Measuring land areas and creating maps.
- Computer Graphics: Creating realistic 3D models and animations.
Conclusion
Exterior angles are a fundamental concept in geometry. Understanding their meaning, properties, and relationship with interior angles is crucial for solving various geometric problems. This guide has provided a comprehensive overview of “exterior angle meaning in Hindi” (बाह्य कोण) and its significance. By mastering this concept, you can gain a deeper understanding of geometric shapes and their properties.
FAQs
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What is the Hindi word for exterior angle? The Hindi word for exterior angle is बाह्य कोण (Bahya Kon).
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What is the sum of exterior angles of a polygon? The sum of exterior angles of any polygon is always 360 degrees.
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How are exterior and interior angles related? Exterior and interior angles at the same vertex are supplementary, meaning they add up to 180 degrees.
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How do you calculate the measure of an exterior angle in a regular polygon? Divide 360 by the number of sides of the polygon.
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What is the exterior angle theorem? The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.
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What are some practical applications of exterior angles? Exterior angles are used in various fields like architecture, engineering, surveying, and computer graphics.
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Where can I find more resources on Hindi meanings of geometric terms? You can find more resources on Meaning-Hindi.in for a comprehensive understanding of Hindi translations of various geometric and other technical terms.
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