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IN the diagram above, LK/PQ, reflex angle KLM = 241° and ∠QPM = 89°. What...

Mathematics
WAEC 1988

IN the diagram above, LK/PQ, reflex angle KLM = 241° and ∠QPM = 89°. What is the value of ∠LMP?

  • A. 30o
  • B. 61o
  • C. 89o
  • D. 119o
  • E. 150o
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Correct Answer: Option A
Explanation

Produce ML to R.

From the figure < LRM = 89° (corresponding angles)

In triangle LRM, < LMR = 180° - (61° + 89°)

= 30°


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