There are several ways to find the measure of an angle in a triangle, depending on the information given about the triangle and the angles. Some common methods include:
Using the angles in a triangle sum to 180 degrees: If you know the measures of two angles in a triangle, you can use the fact that the angles in a triangle sum to 180 degrees to find the measure of the third angle.
Using the Pythagorean theorem: If you have a right triangle, you can use the Pythagorean theorem to find the measure of the right angle (90 degrees)
Using the Law of Cosines: If you know the measures of two angles and the lengths of all three sides of a triangle, you can use the law of cosines to find the measure of the third angle.
Using trigonometry: If you know the lengths of two sides of a triangle and the measure of one angle, you can use trigonometry to find the measure of the other angles.
It is important to note that in order to find the measure of an angle you need to know at least one angle and the values of the sides of the triangle or two angles.