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How to Find Complement & Supplement in DMS Form (Angle Subtraction & Borrowing)

762 views· 31 likes· 5:09· Feb 10, 2026

Welcome to this tutorial where we tackle a tricky topic in geometry and trigonometry: finding the complement and supplement of an angle when it is expressed in the Degrees, Minutes, Seconds (DMS) format. This video goes beyond simple subtraction and shows you the essential "borrowing" technique needed to correctly calculate angles using the DMS system. We work through two complete examples to help you master this process for your next test or class! What You Will Learn: Complementary Angles Definition: How to find the complement of an angle by subtracting it from 90 degrees. Supplementary Angles Definition: How to find the supplement of an angle by subtracting it from 180 degrees. DMS Conversion: Understanding the core concept that 1 degree = 1 minute and 1 minute = 60 seconds. The Subtraction Process: Step-by-step instructions on how to "borrow" from the degrees column to the minutes column, and from the minutes column to the seconds column to perform the subtraction correctly. Knowing how to handle angle subtraction in the DMS format is crucial for success in higher-level math. Follow along and try the practice problem yourself! Continue Your Learning For more practice with the DMS system, check out my video on converting angles between Degrees, Minutes, Seconds form and decimal form: https://youtu.be/UtgAAy-XvCQ https://youtu.be/kbN93Q82IB4 ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

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