Question

1. find the value of x for which abcd must be a parallelogram.

14
1
7
4

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite sides are equal. So, $BC = AD$. Given $BC=x + 3$ and $AD = 2x-1$, we set up the equation $x + 3=2x - 1$.

Step2: Solve the equation for x

Subtract $x$ from both sides: $x+3 - x=2x - 1-x$, which simplifies to $3=x - 1$.

Step3: Isolate x

Add 1 to both sides: $3 + 1=x-1 + 1$, so $x=4$.

Answer:

4