Mathematician Clark Kimberling has proposed that the definition of "golden triangle" be extended to include triangles which have angles that are in Golden Ratio. The "Supreme Isosceles Trigon" was designed and named by Scott Gregory Beach and it is an example of a triangle which has angles that are in Golden Ratio. The measure of the apex angle (angle "a") is equal to 36 multiplied by the square root of 5. The measure of each base angle is equal to the Golden Angle divided by 10, and then added to 36.
Own work
Scott Gregory Beach