Question

find the measure of \\( \angle k l n \\).
after you enter your answer press go.
\\( m \angle k l n = \\)

Explanation:

Step1: Use vertical angles

Vertical angles are equal. So \(x - y=100\). Also, \(y=\frac{2}{7}x\) (vertical angles).

Step2: Substitute \(y\) into \(x - y = 100\)

Substitute \(y=\frac{2}{7}x\) into \(x - y=100\). We get \(x-\frac{2}{7}x = 100\). Combine like - terms: \(\frac{7x-2x}{7}=100\), so \(\frac{5x}{7}=100\). Multiply both sides by \(\frac{7}{5}\): \(x = 140\).

Step3: Find \(y\)

Since \(y=\frac{2}{7}x\), substitute \(x = 140\). Then \(y=\frac{2}{7}\times140=40\).

Step4: Find \(m\angle KLN\)

\(m\angle KLN=x - y\). Since \(x - y = 100\) (from vertical angles property).

Answer:

\(100\)