Question

which angles are supplementary angles? ∠kjg and ∠hge ∠kjg and ∠ijg ∠kjg and ∠fgj ∠kjg and ∠ijl

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each option

• For ∠KJG and ∠HGE: They are not adjacent and do not form a straight - line.
• For ∠KJG and ∠IJG: These two angles are adjacent and form a straight - line (the line IL). Their sum is 180 degrees, so they are supplementary.
• For ∠KJG and ∠FGJ: They are not adjacent and do not form a straight - line.
• For ∠KJG and ∠JIL: They are not adjacent and do not form a straight - line.

Answer:

∠KJG and ∠IJG