Question

gi and jl are parallel lines.
select all the pairs of adjacent angles.
∠jkm and ∠jkh ∠ihf and ∠ihk
∠ihf and ∠ghf ∠ghf and ∠jkh

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles share a common vertex and a common side.

Step2: Analyze each pair

• For \(\angle JKM\) and \(\angle JKH\):

They share vertex \(K\) and side \(KJ\).

• For \(\angle IHF\) and \(\angle IHK\):

They share vertex \(H\) and side \(HI\).

• For \(\angle IHF\) and \(\angle GHF\):

They share vertex \(H\) and side \(HF\).

• For \(\angle GHF\) and \(\angle JKH\):

Although \(GI\parallel JL\), they do not share a common vertex or side. So this pair is incorrect.

Answer:

\(\angle JKM\) and \(\angle JKH\), \(\angle IHF\) and \(\angle IHK\), \(\angle IHF\) and \(\angle GHF\)