Find each measurement indicated. Round your answer to the nearest tenth. Part 2. Please show work​

9514 1404 393

  5) 25.9°

  6) 40.8°

  7) 42.0°

  8) 20.9°

Step-by-step explanation:

The law of sines tells you that for long side x and shorter side y, with angle X opposite side x, the measure of angle Y is ...

  sin(Y)/y = sin(X)/x

  sin(Y) = y/x·sin(X)

  Y = arcsin(y/x·sin(X))

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5) C = arcsin(10/15·sin(41°)) ≈ 25.9°

6) B = arcsin(7/10·sin(111°)) ≈ 40.8°

7) B = arcsin(26/36·sin(112°)) ≈ 42.0°

8) A = arcsin(14/30·sin(50°)) ≈ 20.9°

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For repetitive calculations, I like to let a graphing calculator or spreadsheet do them.