Question

question 23 of 40
find the value of x that makes abcd a parallelogram.
a. 45
b. 50
c. 25
d. 65

Explanation:

Step1: Recall parallelogram property

In a parallelogram, adjacent - angles are supplementary (sum to 180°).

Step2: Set up the equation

\(\angle D+\angle C = 180^{\circ}\), so \(130 + 2x=180\).

Step3: Solve for \(x\)

Subtract 130 from both sides: \(2x=180 - 130\), \(2x = 50\). Then divide both sides by 2: \(x=\frac{50}{2}=25\).

Answer:

C. 25