Question

Why are 60°,90°, and 45° angles called special angles?​

Answer 1

Right triangles are very useful in geometry and for finding the areas of polygons. The most important relationship for right triangles is the Pythagorean Theorem. In addition, the field of trigonometry arises from the study of right triangles, and nearly all trigonometric identities can be deduced from them.

Answer 2

45°-Angle Values (from a 45-45-90 triangle)

It helps us because all 45-45-90 triangles are similar. Therefore, every "evaluation" or "solve the triangle" question involving a 45-45-90 triangle or just a 45° angle can be completed by using this triangle.