Final answer:
To find the value of x in the given parallelogram, set the opposite sides equal to each other and solve for x. Then, substitute the value of x back into the equation to find the value of y.
Step-by-step explanation:
To find the value of x, we can set the opposite sides of the parallelogram equal to each other. So, 13x + 8 = 15x + 2. Subtracting 13x from both sides gives 8 = 2x + 2. Subtracting 2 from both sides gives 6 = 2x. Dividing both sides by 2 gives x = 3.
To find the value of y, we can set the adjacent sides of the parallelogram equal to each other. So, 14x + 6 = 15x + 2. Subtracting 14x from both sides gives 6 = x + 2. Subtracting 2 from both sides gives 4 = x. Substituting this value of x back into the equation gives y = 14(4) + 6 = 64 + 6 = 70.
Therefore, the value of y is 70.