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d.3 transversals: name ang which angles are supplementary angles? ∠kjm …

Question

d.3 transversals: name ang which angles are supplementary angles? ∠kjm and ∠lmj ∠lmj and ∠nmj ∠ijm and ∠lmo ∠kjh and ∠lmo

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles are two angles whose sum is 180 degrees. They often form a linear - pair (adjacent angles that form a straight line).

Step2: Analyze each option

  • For $\angle KJM$ and $\angle LMJ$: These two angles form a linear - pair. They share a common side $JM$ and their non - common sides form a straight line. So, $\angle KJM+\angle LMJ = 180^{\circ}$.
  • For $\angle LMJ$ and $\angle NMJ$: These two angles do not form a straight line. Their sum is not 180 degrees.
  • For $\angle IJM$ and $\angle LMO$: These are non - adjacent angles that do not have a relationship such that their sum is 180 degrees.
  • For $\angle KJH$ and $\angle LMO$: These are non - adjacent angles and their sum is not 180 degrees.

Answer:

$\angle KJM$ and $\angle LMJ$