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2.3 assignment find the value of x that makes m || n. x =

Question

2.3 assignment
find the value of x that makes m || n.
x =

Explanation:

Step1: Use corresponding - angles property

When \(m\parallel n\), the angles \(90^{\circ}\) and \((5x + 20)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(5x+20 = 90\).

Step2: Solve the equation for \(x\)

Subtract 20 from both sides: \(5x=90 - 20\), so \(5x = 70\). Then divide both sides by 5: \(x=\frac{70}{5}\).

Answer:

14