Answer:
x = 6
Explanation:
Given that the line segment is an angle bisector then the following ratios are equal
=
, that is
=
( cross- multiply )
13(6x - 1) = 7(10x +5) ← distribute parenthesis on both sides
78x - 13 = 70x + 35 ( subtract 70x from both sides )
8x - 13 = 35 ( add 13 to both sides )
8x = 48 ( divide both sides by 8 )
x = 6