Question

ma→⊥ap→. if m∠map=(14x - 22)°, solve for x.

Explanation:

Step1: Recall perpendicular - angle property

When two lines are perpendicular, the angle between them is 90°. So, \(m\angle MAP = 90^{\circ}\).
We set up the equation \(14x−22 = 90\).

Step2: Add 22 to both sides

To isolate the term with \(x\), we add 22 to both sides of the equation: \(14x-22 + 22=90 + 22\), which simplifies to \(14x=112\).

Step3: Solve for \(x\)

Divide both sides of the equation \(14x = 112\) by 14: \(x=\frac{112}{14}\), and \(x = 8\).

Answer:

\(x = 8\)