Question

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

Explanation:

Step1: Identify the relationship between angles

Since \( \angle LMO\) and \( \angle NMO\) form a linear - pair. A linear - pair of angles is supplementary, that is \(m\angle LMO+m\angle NMO = 180^{\circ}\).

Step2: Solve for \(m\angle NMO\)

We know that \(m\angle LMO = 110^{\circ}\). Substitute this value into the equation \(m\angle LMO+m\angle NMO = 180^{\circ}\).

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Answer:

\(70\)