Final answer:
The student's question involves properties of triangles in geometry, focusing on the fact that the interior angles of a triangle always add up to 180 degrees. Basic properties, including the Pythagorean theorem, are mentioned, although more information would be needed to solve the triangles described.
Step-by-step explanation:
The student's question pertains to geometry, specifically the properties of triangles. When thinking of a triangle, one should envision a three-sided figure lying on a plane, with the sum of its interior angles always equaling 180 degrees. This is a foundational concept in Euclidean geometry.
Given the angles of two sides of a triangle as mentioned in the question, one can determine the measure of the third angle by subtracting the sum of the given angles from 180 degrees. For instance, if a triangle has two angles measuring 100 degrees and 16 degrees, the third angle would be 180 - (100 + 16) = 64 degrees.
A key concept related to triangles is the Pythagorean theorem, which applies to right-angled triangles and relates the lengths of the sides to one another. It states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
This theorem, however, would not apply directly to the triangles described in the question because there's no indication that any of them are right-angled. Therefore, we would need further information to determine the remaining sides of these triangles or use other geometric principles or laws such as the Law of Sines or the Law of Cosines.