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In △CDE, CD = 14, DE = 9, and m∠E = 71°. What is m∠D to the nearest tenth of a degree? Enter your answer in the box.

a) Not enough information provided
b) 38.6°
c) 69.9°
d) 112.1°

1 Answer

6 votes

Final answer:

The question does not provide enough information to calculate the measure of angle D using the provided lengths of two sides and a non-adjacent angle. Additional information about side lengths or other angle measures would be required.

Step-by-step explanation:

The student's question involves finding the measure to the nearest tenth of a degree of angle D in triangle CDE, given the lengths of sides CD and DE and the measure of angle E. This is a problem that can be solved using the law of sines, which relates the ratios of the lengths of sides of a triangle to the sines of the opposite angles. However, there is not enough information provided in the question to apply this rule directly, as we do not know either the length of side CE or the measure of angle C. To find the measure of angle D, we need to know at least one other angle measure or the length of the third side.

Given that no such information is provided, and assuming there are no typos or missing information, the correct response is (a) Not enough information provided.

Moreover, the information listed in the reference section of the question appears to be unrelated to the question asked and may be erroneous or a typo. This reinforces the response that there is not enough information provided to calculate the requested measure.

User Jmlevick
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