Question

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

Explanation:

Step1: Recall supplementary - angle definition

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

Step2: Analyze each option

• For ∠HGE and ∠FGE: ∠HGE and ∠FGE are adjacent angles and they form a straight - line FH at point G. So, ∠HGE+∠FGE = 180°.
• For ∠HGE and ∠FGJ: They are not supplementary as they do not have a sum of 180°.
• For ∠HGE and ∠IJL: They are not supplementary as they do not have a sum of 180°.
• For ∠HGE and ∠KJG: They are not supplementary as they do not have a sum of 180°.

Answer:

∠HGE and ∠FGE