Question

1. find the value of x for which abcd must be a parallelogram. (x + 3)° (2x - 1)° 4 2 1 7

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite angles are equal. Here, $\angle ABD=\angle CDB$. So, $x + 3=2x-1$.

Step2: Solve the equation for x

Subtract $x$ from both sides: $3=2x - x-1$. Then simplify to get $3=x - 1$. Add 1 to both sides: $x=3 + 1$.

Answer:

$x = 4$