Based on parallelogram ABCD shown below, the values of x and y include;
x = 17 units.
y = 10 units.
In Euclidean Geometry, a parallelogram is a type of quadrilateral and two-dimensional geometrical figure that has two equal and parallel opposite sides.
Generally speaking, a parallelogram has both pairs of opposite sides parallel to each other and the opposite angles (vertical angles) are congruent:
AB ║ CD
AB = CD
3x - 9 = 42
3x = 42 + 9
3x = 51
x = 51/3
x = 17 units.
Next, we would determine the value of y as follows;
4y - 3 = 37
4y = 37 + 3
4y = 40
y = 40/4
y = 10 units.
Complete Question:
Use parallelogram ABCD. What are the values of x and y?