Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these tria
ngles, which statement about x is true?
2 answers:
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Answer:
4. Z ≈ 46.1°
5. T ≈ 45.2°
6. F ≈ 15.0°
Step-by-step explanation:
4.
We need to use the Law of Sines, which states that for a triangle with legnths a, b, and c and angles A, B, and C:
Here, we can say that ZY = a = 30, X = A = 110, XY = b = 23, and Z = B. Plug these in to find Z:
Solve for Z:
Z ≈ 46.1°
5.
Use the Law of Sines as above.
Solve for T:
T ≈ 45.2°
6.
Again, use the Law of Sines as before.
Solve for F:
F ≈ 15.0°