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Answer:
∠ LMN = 80°
Step-by-step explanation:
In a parallelogram
• consecutive angles are supplementary ( sum to 180° )
∠ LMN and ∠ QLM are consecutive angles , then
∠ LMN + ∠ QLM = 180° ( substitute ∠ QLM = 100° )
∠ LMN + 100° = 180° ( subtract 100° from both sides )
∠ LMN = 80°