Question

find the value of x that makes abcd a parallelogram.
a. 5
b. 10
c. 6
d. 30

Explanation:

Step1: Recall parallelogram angle - property

In a parallelogram, adjacent angles are supplementary (their sum is 180°). Angle D and angle C are adjacent angles. So, \(150 + 5x=180\).

Step2: Solve the equation for x

Subtract 150 from both sides of the equation: \(5x=180 - 150\). Then \(5x = 30\). Divide both sides by 5: \(x=\frac{30}{5}=6\).

Answer:

C. 6