Question

1. find the value of x for which abcd must be a parallelogram. (3x - 17)° (25 - 3x)°

Explanation:

Step1: Recall parallelogram property

In a parallelogram, alternate - interior angles are equal. So, \(3x - 17=25 - 3x\).

Step2: Solve the equation for \(x\)

Add \(3x\) to both sides: \(3x+3x - 17=25-3x + 3x\), which simplifies to \(6x-17 = 25\).

Step3: Isolate the term with \(x\)

Add 17 to both sides: \(6x-17 + 17=25 + 17\), getting \(6x=42\).

Step4: Find the value of \(x\)

Divide both sides by 6: \(x=\frac{42}{6}=7\).

Answer:

7