Answer:
d. x° = 27°, y° = 63°
Step-by-step explanation:
To choose the correct answer, you only need to know that the smaller angle is opposite the shorter side. x° is opposite the shorter side so will have a smaller measure than y°.
The correct choice is ...
d. x° = 27°, y° = 63°
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If you want to actually go to the trouble to determine the angles exactly, you can use the tangent relation:
Tan = Opposite/Adjacent
tan(x°) = 4/8
x° = arctan(1/2) ≈ 26.56°
x° ≈ 27°
y can be computed as the complement of this, or can be computed in similar fashion:
tan(y°) = 8/4
y° = arctan(2) ≈ 63.43°
y° ≈ 63°
