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26 March, 18:54

If ΔABC, BC = 12.35, AC = 8.75 centimeters, and m∠B = 37°, what are m∠A and m∠C in two decimal places?

A. m∠A ≈ 25.24°, m∠C ≈ 117.76°

B. m∠A ≈ 58.15°, m∠C ≈ 84.85°

C. m∠A ≈ 25.24°, m∠C ≈ 64.76° D

. m∠A ≈ 58.15°, m∠C ≈ 31.85°

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Answers (1)
  1. 26 March, 19:12
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    We apply the sine rule here:

    a/sin (A) = b/sin (B) = c/sin (C)

    The side opposite to angle B is AC

    The side opposite to angle A is BC

    The side opposite to angle C is AB

    8.75/sin (37) = 12.35/sin (A)

    A = 58.15°

    The sum of the three angles is 180°

    Angle C = 180 - 58.15 - 37

    Angle C = 84.85°

    The answer is B
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