Answer:
[tex]x=17[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
In this problem Triangles BAE and DAE are congruent by SAS postulate
so
BE=DE
substitute the given values
[tex]3x-24=x+10[/tex]
solve for x
[tex]3x-x=24+10[/tex]
[tex]2x=34[/tex]
[tex]x=17[/tex]
