Answer:
x = 6
Explanation:
the outer and inner triangles are similar , by the AA postulate
then the ratios of corresponding sides are in proportion
corresponding sides are
small to large
16x - 1 - 14 to 6x - 1 and 15 - 6 to 15 , that is
16x - 15 to 6x - 1 and 9 to 15
the proportion equation is then
=
( cross- multiply )
15(6x - 15) = 9(6x - 1) ← distribute parenthesis on both sides
90x - 225 = 54x - 9 ( subtract 54x from both sides )
36x - 225 = - 9 ( add 225 to both sides )
36x = 216 ( divide both sides by 36 )
x = 6