Final answer:
To find the value of x, equate the measure of angle ABC with the measure of angle ABE. Solve the equation to find x = 30°.
Step-by-step explanation:
To find the value of x, we need to use the property of opposite angles in a rhombus. In a rhombus, opposite angles are equal. Therefore, we can equate the measure of angle ABC with the measure of angle ABE. This gives us the equation: 84° = 3x - 6°. We can solve for x by isolating it on one side of the equation.
84° + 6° = 3x
90° = 3x
x = 90°/3
x = 30°
Therefore, the value of x is 30°.