Final answer:
The value of y in the rhombus can be either 3x + 20 or 2x + 20, depending on its position opposite to either of the given angles. Using the property that opposite angles in a rhombus are equal and the sum of angles in a quadrilateral is 360 degrees, we can solve for x and thus find the exact value of y.
Step-by-step explanation:
The value of y in the internal angles of a rhombus where two angles are given as 3x + 20 and 2x + 20 can be found using the property that opposite angles in a rhombus are equal. A rhombus has four angles, and since opposite angles are equal, we have two pairs of equal angles. If one angle is 3x + 20, the angle opposite to it is also 3x + 20. Similarly, if another angle is 2x + 20, the angle opposite to it must also be 2x + 20.
The sum of all internal angles in a rhombus (or any quadrilateral) is 360 degrees. Therefore, we can set up an equation:
2(3x + 20) + 2(2x + 20) = 360
When this equation is solved, we find the value of x, which can then be used to find the value of y. Since the values for the angles in the question are 3x + 20, 2x + 20, and y, we know y must be one of those values because opposite angles are equal. Therefore, y could be either 3x + 20 or 2x + 20, depending on its position in the rhombus relative to the given angles.