Question

which angle pair is a linear pair?

∠mlj and ∠aeb

∠aef and ∠mlg

∠glh and ∠glm

∠klm and ∠klj

Explanation:

Step1: Recall the definition of a linear pair

A linear pair of angles is a pair of adjacent angles whose non - common sides are opposite rays. The sum of angles in a linear pair is \(180^{\circ}\).

Step2: Analyze each option

• For \(\angle MLJ\) and \(\angle AEB\): These angles are not adjacent and are in different figures.
• For \(\angle AEF\) and \(\angle MLG\): These angles are not adjacent.
• For \(\angle GLH\) and \(\angle GLM\): \(\angle GLH = 60^{\circ}\), \(\angle GLM=120^{\circ}\) (since \(\angle GLH+\angle GLM = 60^{\circ}+120^{\circ}=180^{\circ}\) and they are adjacent with non - common sides \(LH\) and \(LM\) which are opposite rays.
• For \(\angle KLM\) and \(\angle KLJ\): \(\angle KLM = 180^{\circ}- 30^{\circ}=150^{\circ}\), \(\angle KLJ = 30^{\circ}\), but they are not adjacent in the required way (non - common sides are not opposite rays in the sense of forming a straight line from a common vertex with adjacent angles).

Answer:

\(\angle GLH\) and \(\angle GLM\)