Answer:
[tex] x = 10 [/tex]
Step-by-step explanation:
When two straight lines intersect, 2 pairs of vertical angles formed are congruent.
Therefore,
[tex] (x + 5) = (2x - 5) [/tex]
Use this equation to solve for x as follows:
[tex] x + 5 = 2x - 5 [/tex]
Subtract 5 from both sides
[tex] x + 5 - 5 = 2x - 5 - 5 [/tex]
[tex] x = 2x - 10 [/tex]
Subtract 2x from both sides
[tex] x - 2x = 2x - 10 - 2x [/tex]
[tex] -x = -10 [/tex]
[tex] x = 10 [/tex]
