Question

In the figure, △ABC ~ △DEF, ∡ABG ≅ ∡GBC, and ∡DEH ≅ ∡HEF. Solve for x.

Triangle ABC with point G on AC. BG bisects angle B. BG measures 26. BC measures 2x plus 5. Triangle EFD with point H on FD. EH bisects angle E. EH measures 16. EF measures x plus 9. Angles ABG, CBG, FEH, and DEH are congruent.

x equals 34 and two thirds

x equals 25 and two thirds

x equals 56 and one third

x equals 7 over 18