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Romashka-Z-Leto [24]
4 years ago
10

Use the Law of Sines to find the missing angle of the triangle. Find m∠C to the nearest tenth.

Mathematics
1 answer:
harina [27]4 years ago
4 0

<u>Answers</u>

C = 58.84

B = 97.16°


<u>Explanation</u>

The sine rule states:

SinA/a = sinB/b

∴ sin24 / 77 = sinC / 162

 sinC = (162 × sin24)/77

         = 65.89/77

         = 0.85573

C = 58.84°

Angles in a triangle add up to 180°

∴ B + 24 + 58.84 = 180

  B = 180 - 24 - 58.84

      = 180 - 82.84

      = 97.16°

      =

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