Question

find the value of $x$ in the triangle shown below.
$x = square^{circ}$

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, for a triangle with angles \(x^{\circ}\), \(112^{\circ}\), and \(19^{\circ}\), we have the equation \(x + 112+19=180\).

Step2: Solve the equation for \(x\)

First, simplify the left - hand side of the equation: \(x+(112 + 19)=x + 131\). Then, using the property of equality, subtract 131 from both sides of the equation \(x+131 = 180\). So, \(x=180 - 131\).

Answer:

\(49\)