Find the value of Z for the triangles

1 answer:

4 0

Answer:

z = 17.5

Step-by-step explanation:

segment RX is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

$\frac{RS}{RT}$ = $\frac{SX}{TX}$ , substitute values

$\frac{15}{z}$ = $\frac{6}{7}$ ( cross- multiply )

6z = 105 ( divide both sides by 6 )

z = 17.5

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