Question

which angles are supplementary angles?
∠lkh and ∠ihf
∠ghf and ∠jkh
∠lkm and ∠jkh
∠ghk and ∠ihk

Explanation:

Step1: Recall supplementary - angles definition

Supplementary angles are two angles whose sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each option

• For ∠LKH and ∠IHF: They are not adjacent and do not form a straight - line.
• For ∠GHF and ∠JKH: They are not adjacent and do not form a straight - line.
• For ∠LKM and ∠JKH: They are vertical angles, not supplementary.
• For ∠GHK and ∠IHK: ∠GHK and ∠IHK are adjacent angles and together they form the straight - line GI. So, ∠GHK+∠IHK = 180 degrees.

Answer:

∠GHK and ∠IHK