Question

118° (8x + 6)° (8x + 6)° = m∠□ (8x + 6)° = □° 8x = □ x = □

Explanation:

Step1: Identify angle - pair relationship

The two angles \(118^{\circ}\) and \((8x + 6)^{\circ}\) are corresponding angles (assuming the two lines are parallel, indicated by the arrow - like markings on the lines). Corresponding angles are equal. So \((8x + 6)^{\circ}=118^{\circ}\).

Step2: Solve for \(8x\)

Subtract 6 from both sides of the equation \(8x+6 = 118\).
\(8x=118 - 6\)
\(8x = 112\)

Step3: Solve for \(x\)

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

Answer:

\(x = 14\)