Answer:
B. 6 < n < 25
Step-by-step explanation:
We are given the triangles WXY and WZY with sides XY and ZY congruent and equal to 8.
As the sides WX = 11 > WZ = 9.
Then, the angles opposite to WX will be greater than the angle opposite to WZ.
i.e. ∠WYX > ∠WYZ
i.e. (7n+5)° > 47°
i.e. 7n° > 42°
i.e. n > [tex]\frac{42}{7}[/tex]°
i.e. n > 6°
Since in ΔWXY, the sum of all three angles is 180°.
This means that (7n+5)° < 180°
i.e. 7n < 175°
i.e. n < [tex]\frac{175}{7}[/tex]°
i.e. n < 25°
Hence, we get that the range of n is 6 < n < 25.
