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which angles are supplementary angles? ∠ijm and ∠lmo ∠ijm and ∠kjh ∠ijm…

Question

which angles are supplementary angles? ∠ijm and ∠lmo ∠ijm and ∠kjh ∠ijm and ∠nmj ∠ijm and ∠kjm

Explanation:

Step1: Recall supplementary - angle definition

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

Step2: Analyze each option

  • For ∠IJM and ∠LMO: They are not adjacent and do not form a straight - line.
  • For ∠IJM and ∠KJH: They are vertical angles, not supplementary.
  • For ∠IJM and ∠NMJ: ∠IJM and ∠NMJ are adjacent angles and they form a straight - line (line HK). The sum of the measures of ∠IJM and ∠NMJ is 180°.
  • For ∠IJM and ∠KJM: They are not supplementary.

Answer:

∠IJM and ∠NMJ