Answer: x=3.8x=3.8
Step-by-step explanation:
Since the triangles are congruent, the corresponding angles are equal. Thus, angle AA in △ABC△ABC is congruent to angle FF in △DEF△DEF. This gives us the equation:
2x+15∘=7x−4∘2x+15∘=7x−4∘
Let's solve this equation:
Subtract 2x from both sides:
15∘=5x−4∘
Add 4∘4∘ to both sides:
19∘=5x
Divide by 5:
x=195=3.8