Question

look at this diagram:
if \\( \overleftrightarrow { g i } \\) and \\( \overleftrightarrow { j l } \\) are parallel lines and \\( m \angle l k m = 110 ^ { \circ } \\), what is \\( m \angle j k m \\)?
\\( \square ^ { \circ } \\)

Explanation:

Step1: Use the property of supplementary angles

Since \(\angle LKM\) and \(\angle JKM\) are supplementary angles (they form a linear - pair), and the sum of supplementary angles is \(180^{\circ}\).
We know that \(m\angle LKM + m\angle JKM=180^{\circ}\)

Step2: Substitute the given value

Given \(m\angle LKM = 110^{\circ}\), then \(110^{\circ}+m\angle JKM = 180^{\circ}\)

Step3: Solve for \(m\angle JKM\)

Subtract \(110^{\circ}\) from both sides of the equation: \(m\angle JKM=180^{\circ}- 110^{\circ}\)

Answer:

\(70\)