Question

find the value of x.

x = \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:

\(x = 7\)