Mathematics

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

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
Correct Answer: Option A
Explanation

Produce ML to R.

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

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

= 30°