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21 votes
Find the value of Z for the triangles

Find the value of Z for the triangles-example-1
User Hamid Reza Salimian
by
2.9k points

1 Answer

16 votes
16 votes

Answer:

z = 17.5

Explanation:

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


(RS)/(RT) =
(SX)/(TX) , substitute values


(15)/(z) =
(6)/(7) ( cross- multiply )

6z = 105 ( divide both sides by 6 )

z = 17.5

User John Allard
by
2.3k points