please answer it quickly
Answers
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See attached for additional line drawn (Note point z added).
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Find ∠ZQR
∠ZQR + ∠NQR = 180° (Adjacent angles on a straight line)
∠ZQR = 180 - 140 = 40°
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Find ∠QZR:
∠QZR + ∠MRQ + ∠ ZQR = 180° ( Sum of angles in a triangle)
∠QZR = 180 - 30 - 40 = 110°
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Find ∠LMR:
∠LMR = ∠QZR (Corresponding angles // line)
x = 110°
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Answer: x = 110°
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