Answer:
x = 8
AB = 18
Step-by-step explanation:
Equilateral triangle:
In an equilateral triangle, all three sides are equal, all three angles are equal, and each angle is 60°.
AC = AB
4x - 14 = 2x + 2
Add 14 to both sides
4x - 14 +14 = 2x + 2 + 14
4x = 2x + 16
Subtract '2x' from both sides,
4x - 2x = 2x - 2x + 16
2x = 16
Divide both sides by 2
[tex]\sf \dfrac{2x}{2}=\dfrac{16}{2}[/tex]
[tex]\sf \boxed{\bf x = 8}[/tex]
AB = 2x + 2
= 2*8 + 2
= 16 + 2
AB = 18
