Question

look at this diagram:
if \\( \overleftrightarrow { k m } \\) and \\( \overleftrightarrow { n p } \\) are parallel lines and \\( m \angle k l j = 134 ^ { \circ } \\), what is \\( m \angle m l j \\)?

Explanation:

Step1: Identify angle relationship

∠KLJ and ∠MLJ are adjacent supplementary angles (they form a linear pair), so their measures add up to \( 180^\circ \).

Step2: Calculate \( m\angle MLJ \)

Let \( m\angle MLJ = x \). We know \( m\angle KLJ = 134^\circ \), so:

$$ 134^\circ + x = 180^\circ $$

Subtract \( 134^\circ \) from both sides:

$$ x = 180^\circ - 134^\circ = 46^\circ $$

Answer:

\( 46 \)