To find the degree measures of each angle in a triangle, you need to use the basic property that the sum of the interior angles in a triangle is always 180 degrees. If you know the measures of two angles, you can easily find the third angle by subtracting the sum of the known angles from 180 degrees.
For example, let’s say you have a triangle with angles A and B measuring 50 degrees and 70 degrees, respectively. To find angle C, you would calculate:
C = 180 – (A + B)
C = 180 – (50 + 70)
C = 180 – 120
C = 60 degrees
So, in this example, the angles of the triangle measure 50 degrees, 70 degrees, and 60 degrees.
If you don’t have the measures of two angles but have side lengths instead, you can use the Law of Cosines or the Law of Sines to find the angle measures. This involves applying some trigonometric principles, but once you have at least two angles or side lengths, finding the angles becomes much simpler.