Question

for what value of x is d || e?
(2x - 3)°
(7x + 3)°
o 37
o 25
o 20
o 35
for exercises 2 and 3, use the figure below right.

Explanation:

Step1: Use corresponding - angles property

When \(d\parallel e\), the corresponding angles are equal. So, \(2x - 3=7x + 3\).

Step2: Rearrange the equation

Subtract \(2x\) from both sides: \(-3 = 7x-2x + 3\), which simplifies to \(-3=5x + 3\).

Step3: Solve for \(x\)

Subtract 3 from both sides: \(-3 - 3=5x\), so \(-6 = 5x\). Then \(x=-\frac{6}{5}\). But this seems wrong. Let's assume they are same - side interior angles. When \(d\parallel e\), same - side interior angles are supplementary. So, \((2x - 3)+(7x + 3)=180\).

Step4: Simplify the equation

Combine like terms: \(2x-3 + 7x + 3=180\), which gives \(9x=180\).

Step5: Solve for \(x\)

Divide both sides by 9: \(x = 20\).

Answer:

C. 20