find the value of x.\n\nx = \\square

Explanation:

Step1: Identify angle relationship

The sum of the two smaller angles ((4x^\circ) and (12x^\circ)) equals the larger angle ((112^\circ)). So, (4x + 12x = 112).

Step2: Combine like terms

(16x = 112).

Step3: Solve for x

Divide both sides by 16: (x=\frac{112}{16}=7).

Answer:

(x = 7)