Question

given m||n, find the value of x.
answer
attempt 1 out of 2
submit answer

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((3x + 12)^{\circ}\) and \((10x-1)^{\circ}\) are alternate - interior angles. Alternate - interior angles formed by two parallel lines and a transversal are congruent. So, \(3x + 12=10x-1\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(12 = 10x-3x - 1\), which simplifies to \(12=7x - 1\).
Add 1 to both sides: \(12 + 1=7x\), so \(13 = 7x\).
Divide both sides by 7: \(x=\frac{13}{7}\).

Answer:

\(x=\frac{13}{7}\)