How to Identify and Calculate Supplementary Angles?

What comes to your mind when we say supplementary angles? Are you aware of what it is? if not, let us tell you... But first, let us know what is an angle. When two rays intersect at a common point, known as the vertex, an angle is created. The unit of measurement for the distance between these rays is degrees (°). In geometry concepts, angles assist in our understanding of direction, shapes, and measurements. They are extensively utilized in navigation, design, and construction. 

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In geometry, angles are essential, and knowing the various kinds of angles facilitates efficient problem-solving in mathematics. Supplementary angles are a key idea that is frequently utilized in engineering, geometry, and daily measurements. Solving problems might be considerably simpler if you know how to recognize and compute these angles. Let's take a closer look at additional viewpoints.

What are Supplementary Angles?

Two angles that add up to 180 degrees are called supplementary angles. These angles can add up to 180 degrees whether they are adjacent (creating a straight line) or not. For instance, since 120° + 60° = 180°, the supplementary angle of an angle measuring 120 degrees would be 60 degrees.

How Supplementary Angles Are Identified?

There are various ways to identify supplementary angles. At 98thPercentile, we make sure the students know all these basics and can identify any angles with ease-

- Two angles are supplementary if their sum equals 180 degrees.
- They may form a straight angle, which is a 180° straight line.
- They don't have to be next to each other; they can be apart and yet add up to 180 degrees.
- To determine its supplementary angle, choose one angle and subtract it from 180°.

How to Calculate Supplementary Angles?

There are some ways to calculate supplementary angles-

• To find the other angle, subtract the provided angle from 180°.
• For instance, if one angle is 65°, the other is 180° minus 65°, or 115°.
• In algebra, if the formula is x + y = 180° and the two supplementary angles are denoted by the letters x and y. If one angle is 2x and the other is x, solve 2x + x = 180. So, 3x = 180 which means x = 60°, the other angle is 120°.

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In conclusion, comprehending supplementary angles is crucial for both geometry and practical uses including design, building, and navigation. Through precise identification and computation, students can improve their problem-solving abilities and use them successfully in a variety of situations. Visit www.98thpercentile.com and enroll in our Math program for detailed knowledge of geometry concepts and more. Join our one-week free trial classes now.

FAQs (Frequently Asked Questions)

Q.1: Define geometry.

Ans: In mathematics, geometry is the study of proportions, forms, angles, and spatial connections.

Q.2: What are angles?

Ans: Angles, expressed in degrees, are created when two rays intersect at a common point.

Q.3: What are supplementary angles?

Ans: Two angles that add up to 180° are called supplementary angles.

Q.4: What are complementary angles?

Ans: Two angles that add up to 90° are complementary.

Q.5: Where do we use supplementary angles in real life?

Ans: To guarantee structural stability, supplemental angles are employed in engineering, design, and construction.

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