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Triangle L N M is shown. Angle L N M is 90 degrees, angle N M L is 48 degrees, and angle M L N is 42 degrees. Consider △LMN. m∠L + m∠M = ° sin(L) = sin(M) =

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sqdancefan

Answer:

  • m∠L + m∠M = 90°
  • sin(L) = 0.66913
  • sin(M) = 0.74314

Step-by-step explanation:

The sum of the two angles is ...

  m∠L + m∠M = 42° +48° = 90°

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A calculator can show you the sines of these angles.

  sin(42°) ≈ 0.66913

  sin(48°) ≈ 0.74314

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The two acute angles of a right triangle always have a sum of 90°.

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