18080980
13.02.2021 •
Mathematics
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Please answer and explain your process.
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Ответ:
m∠D = 29°
Step-by-step explanation:
First, notice that ΔSTU and ΔDEF are similar triangles.
For instance, for side ST and DE, the scale factor is:
Likewise, for TU and EF and SU and DF, the scale factor reamins that same:
By SSS Similarity, ΔSTU ~ ΔDEF.
Note that our similarity statement states that ∠S corresponds to ∠D.
So, ∠S = ∠D.
Since the angles remain the same in a scaled factor and ∠S measures 29°, ∠D is also 29°.
Ответ: