Question

6 numeric 1 point solve for x. type in your numerical answer only, no degree symbol.

Explanation:

Step1: Identify angle relationship

The two angles \(72^\circ\) and \((7x + 24)^\circ\) are same - side interior angles, and since the lines are parallel, they are supplementary (their sum is \(180^\circ\)). So we can write the equation: \(72+(7x + 24)=180\).

Step2: Simplify the left - hand side

First, combine like terms: \(72 + 24+7x=180\), which simplifies to \(96 + 7x=180\).

Step3: Solve for x

Subtract 96 from both sides of the equation: \(7x=180 - 96\). Calculate \(180-96 = 84\), so \(7x = 84\). Then divide both sides by 7: \(x=\frac{84}{7}=12\).

Answer:

12