Angles in geometry play a significant role in various mathematical problems, and understanding how to calculate supplementary angles is essential. In this article, we will explore how to find the supplementary angle of a 30° angle and how to calculate one-third of it.
Understanding Supplementary Angles
A supplementary angle is defined as two angles that add up to 180°. This means that if one angle is given, the supplementary angle can be found by subtracting the given angle from 180°.
For example, if you have a 30° angle, the supplementary angle would be 180° – 30° = 150°.
Calculating One-Third of the Supplementary Angle
Once we know that the supplementary angle of a 30° angle is 150°, we can proceed to calculate one-third of this supplementary angle.
One-third of 150° is calculated by dividing 150 by 3: 150° ÷ 3 = 50°.
Summary of the Calculation
To recap, the supplementary angle of a 30° angle is 150°, and one-third of this supplementary angle is 50°. This simple yet important concept in geometry helps in solving a variety of problems related to angles.
Why Understanding Angles Matters
Understanding the concept of supplementary angles and being able to calculate parts of them is not just important for academic purposes, but also for real-world applications such as architecture, design, and engineering. Angles are everywhere in our daily lives, from building structures to navigating spaces, making geometry a key element of many disciplines.
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