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In the last lesson we used the Law of Cosines to find the length of the third side of a triangle when you know the length of two sides and the angle in between. This law can also be used to find the measure of an angle when the three sides of a triangle are given. To use the Law of Cosines to find an unknown angle: 1. Identify c as the side across from the angle you are trying to find. 2. Substitute the values into the Law of Cosines.
1 The measure of the third angle. 2  In this case, you add its measure to 90, the number of degrees in the right angle and subtract that total from 180. 3  The measure of any two of the triangleâs sides. 4  In this case, you can find the measure of the angle using trigonometry.ou can find the measure of one of the other angles if you know either of these things: 1  The measure of the third angle. 2  In this case, you add its measure to 90, the number of degrees in the right angle and subtract that total from 180. 3  The measure of any two of the triangleâs sides.