Final answer:
The sum of angles in a parallelogram is always 360 degrees. However, without additional information or an angle measurement, we cannot find the individual angles of the parallelogram with the provided dimensions and diagonal length.
Step-by-step explanation:
The question involves finding the angles and the sum of angles in a parallelogram with given side lengths and diagonal length. Since the sum of angles in any parallelogram adds up to 360 degrees, we can focus on finding the individual angles. Typically, the Law of Cosines would be used to find these angles, considering the parallelogram can be split into two congruent triangles by one of its diagonals. Unfortunately, with only one diagonal given and no information about an angle, we can't directly apply the Law of Cosines. Thus, without additional information, we can't find the exact angles of the parallelogram.
A parallelogram has opposite sides that are equal in length and opposite angles that are equal. The consecutive angles are supplementary, meaning they add up to 180 degrees. These properties could help us if we had additional information such as the measurement of one angle or if the parallelogram had special conditions, like being a rectangle or a rhombus.
The sum of the angles of a parallelogram, like any quadrilateral, is always 360 degrees. This applies regardless of the side lengths or angles as it is a fundamental property of quadrilaterals.