Question

hj and km are parallel lines. which angles are supplementary angles? ∠jil and ∠hil, ∠mln and ∠kli, ∠kli and ∠hig, ∠hil and ∠jig

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 ∠JIL and ∠HIL: These two angles are adjacent and form a straight - line at point I on line HG. So, ∠JIL+∠HIL = 180°.
• For ∠MLN and ∠KLI: These are not adjacent and do not form a straight - line.
• For ∠KLI and ∠HIG: These are not adjacent and do not form a straight - line.
• For ∠HIL and ∠JIG: These are vertical angles, not supplementary.

Answer:

∠JIL and ∠HIL