Question

find m∠lko.

Explanation:

Step1: Use the property of alternate interior angles

Since \(JH\parallel ML\), the angles \((11y + 2)^{\circ}\) and \((8y+7)^{\circ}\) are equal. So, \(11y+2 = 8y + 7\).

Step2: Solve the equation for \(y\)

Subtract \(8y\) from both sides: \(11y-8y+2=8y - 8y+7\), which simplifies to \(3y+2 = 7\).
Subtract \(2\) from both sides: \(3y+2 - 2=7 - 2\), so \(3y=5\), then \(y = 1\).

Step3: Calculate \(m\angle LKO\)

Substitute \(y = 1\) into \((8y + 7)^{\circ}\). \(8\times1+7=15\).

Answer:

\(15^{\circ}\)