Respuesta :

We have the measure of 2 angles of the triangle. Since the sum of all 3 angles of a triangle must be 180 degrees, we can write:

X+ Y + Z = 180
X + 55 + 29 = 180
⇒ X = 96 degrees

We can find the measure of YZ using the law of sines. Writing the law of sines for given triangle:

[tex] \frac{YZ}{sin(X)} = \frac{XZ}{sin(Y)} [/tex]

Using the values, we get:

[tex] \frac{XZ}{sin(96)} = \frac{35}{sin(55)} \\ \\ XZ= \frac{35*sin(96)}{sin(55)} \\ \\ XZ=42.5[/tex]

Thus the value of YZ, rounded of to nearest tenth will be 42.5 

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