By applying the constant sum of interior angles in a triangle (180 degrees), the missing angle is determined as 86 degrees, complementing the known angle of 47 degrees. This method relies on fundamental geometric principles.
In the given problem, you can determine the measure of the indicated angle by leveraging the sum of interior angles in a triangle, which is always 180 degrees.
With one angle already known as 47 degrees, the remaining two angles must add up to the difference between 180 and 47, which is 133 degrees. Consequently, the missing angle is established as 86 degrees. This conclusion aligns with the principle that the sum of angles within any triangle is constant.
Visually, you can represent this scenario with a diagram where one angle is labeled as 47 degrees, and the other two angles are collectively depicted as the difference between 180 and 47, resulting in the calculated measure of 86 degrees for the unknown angle. This method of angle calculation is grounded in fundamental geometric principles.