How to Calculate Angle Degrees

Angles and calculating degrees are the founding concepts in geometry and trigonometry, but this knowledge is also useful in areas such as astronomy, architecture and engineering. Being able to find angle degrees is a necessary skill that you must master before delving into more advanced concepts, such as radians, arc length and sector area. Depending on the math level you’re at and the particular angle you’re dealing with, you can calculate angle degrees with a few different methods.
  1. Using a Protractor

    • Grab a protractor. Position the “0” line on the protractor up with one of the rays of the angle, and the middle circle on the protractor should be positioned on the vertex of the angle. Look at where the other ray of the angle lines up on the protractor -- this will give you the angle degrees.

    Calculating with Formulas

    • If you are calculating degrees of a triangle, input the given angle values into the formula “a + b + c = 180 degrees” and solve for the missing value. If you have an equilateral triangle, “3x = 180” is the formula to use. When dealing with two intersecting lines, use “a + b = 180” and solve for the unknown value.

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