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Question
for what value of x is d || e? (2x - 3)° (7x + 3)° 35 25 20 37
Step1: Use the property of parallel lines
When \(d\parallel e\), the sum of the same - side interior angles is \(180^{\circ}\). So, \((2x - 3)+(7x + 3)=180\).
Step2: Simplify the equation
Combine like terms: \(2x-3 + 7x+3=180\), which simplifies to \(9x=180\).
Step3: Solve for \(x\)
Divide both sides of the equation \(9x = 180\) by \(9\): \(x=\frac{180}{9}=20\).
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\(20\)