Final answer:
By using the property of opposite angles in a parallelogram, the value of x was calculated to be -5/3 by solving the equation 2x = 5x + 5 after setting opposite angles equal to each other.
Step-by-step explanation:
To solve for the value of x in parallelogram ABCD, where angle A is mZA = 2x and angle B is m_B = 5x + 5, we make use of the property that opposite angles in a parallelogram are equal. Therefore, we can set the expressions for the opposite angles equal to each other since angle A is opposite to angle B:
2x = 5x + 5
Now, we solve for x:
- Subtract 2x from both sides: 0 = 3x + 5
- Subtract 5 from both sides: -5 = 3x
- Divide by 3: x = -5 / 3
Thus, the value of x is -5/3.