9514 1404 393
Answer:
y = 8
Step-by-step explanation:
You will get the same value for y whether you approach the problem by making corresponding angles equal, or by making corresponding sides equal. The equation for the sides takes less work to solve.
2y -3 = y +5
y = 8 . . . . . . . . add 3-y to both sides
_____
Check
This value of y makes the angles ...
(6y -5)° = (6·8 -5)° = 43°
(4y +11)° = (4·8 +11)° = 43°
Corresponding angles and the side between them have the same measures, so the triangles are congruent by ASA.
