Question

find the value of x.

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, for the given triangle with angles \(x^{\circ}\), \(36^{\circ}\), and \(94^{\circ}\), we have the equation \(x + 36+94=180\).

Step2: Simplify the left - hand side of the equation

First, add \(36\) and \(94\): \(36 + 94=130\). The equation becomes \(x+130 = 180\).

Step3: Solve for \(x\)

Subtract \(130\) from both sides of the equation: \(x=180 - 130\).

Answer:

\(x = 50\)