Question

1. find the value of x for which abcd must be a parallelogram. (15x + 2)° (9x + 20)°

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite angles are equal. So, \(15x + 2=9x + 20\).

Step2: Solve the equation for x

Subtract \(9x\) from both sides: \(15x-9x + 2=9x-9x + 20\), which simplifies to \(6x+2 = 20\). Then subtract 2 from both sides: \(6x+2 - 2=20 - 2\), getting \(6x=18\). Divide both sides by 6: \(x=\frac{18}{6}=3\).

Answer:

3