## Law of sines: In △BCD, d = 3, b = 5, and m∠D = 25°. What are the possible approximate measures of angle B? only 90° <

Question

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## Answers ( No )

Answer:45° and 135°

Step-by-step explanation:The law of sines states

Using the information we have,

Cross multiplying, we have

Divide both sides by 3:

To cancel the sine function, apply the inverse sine:

This means B can be either 45° or 135°.

≈Law of sines:

b d

——- = ———-

sin(B) sin(D)

=> sin(B) = sin(D) * b / d

sin(B) = sin(25°) * 5 / 3 ≈ 0.4226 * 5/3 = 0.7043

=> B = arcsine(0.7043) ≈ 45° or 135°

Answer: 45° and 135°