Law of sines: sine of cap A over A is equal to sine of cap b over b is equal to sine of cap c over c In triangle BCD , d is equal to 3 , b is equal to 5 , and m angle cap d is equal to 25 degrees What are the possible approximate measures of angle cap b ?

By the Law of Sines, sin B / 5 = sin 25° / 3, so sin B = (5 sin 25°) / 3 ≈ 0.704. Angles between 0° and 180° with this sine are approximately 45° and 135°. Therefore, the possible measures are 45° and 135°, choice B.

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