Question

given m||n, find the value of x. (6x - 3)° (7x - 24)°

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((6x - 3)^{\circ}\) and \((7x-24)^{\circ}\) are congruent (corresponding angles or alternate - interior angles, which are equal for parallel lines). So we set up the equation \(6x-3=7x - 24\).

Step2: Solve the equation

Subtract \(6x\) from both sides of the equation:
\(6x-3-6x=7x - 24-6x\)
\(-3=x - 24\).
Then add 24 to both sides:
\(-3 + 24=x-24 + 24\)
\(x=21\).

Answer:

\(21\)