Answer:
x = 6
Explanation:
Since <A is congruent to <N, they are both an isosceles base angles. ∆CAN is an isosceles ∆.
Therefore, one of the properties of an isosceles ∆ is that two sides are equal, aside the base of the isosceles. This implies that: CN = AC
AC = 18cm
CN = (4x - 6)cm, therefore, we can generate an equation for solve for x as follows,
4x - 6 = 18 (two sides of an isosceles ∆ are congruent)
Add 6 to each side of the equation.
4x - 6 + 6 = 18 + 6
4x = 24
Divide both sides by 4
4x = 24/4
x = 6