Final answer:
Without access to the provided figures, identification of a pair of same side interior angles cannot be determined. The concept of same side interior angles involves two angles on the same side of a transversal intersecting parallel lines. Trigonometry, including terms like hypotenuse and cosine, can be used for calculations when angles form a right triangle.
Step-by-step explanation:
The question relates to identifying a pair of same side interior angles given four options. Same side interior angles are formed when two parallel lines are cut by a transversal. These angles are both on the same side of the transversal and are inside the parallel lines.
Without the figures mentioned, I cannot provide the correct pair. However, typically, if you have two parallel lines and a transversal, the same side interior angles are consecutive angles between the parallel lines on one side of the transversal. They're also known as consecutive interior angles. For example, if angles L1 and L2 are on the same side of a transversal and between parallel lines, they could be same side interior angles if depicted accordingly in a figure.
When working with trigonometry, as mentioned in references to figures not provided here, you may encounter terms like 'hypotenuse' and 'cosine'. The hypotenuse is the longest side of a right triangle, directly opposite the right angle. Cosine is a trigonometric ratio comparing the adjacent side to the hypotenuse. If applying trigonometry to a scenario where the angles are part of a right-angled triangle, one might calculate the lengths of sides by using the cosine function and the Pythagorean theorem.