Question

find the value of x.

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Let the triangle have an exterior angle of \(137^{\circ}\), and the two non - adjacent interior angles are \(x^{\circ}\) and \(89^{\circ}\). So, \(137=x + 89\).

Step2: Solve for \(x\)

Subtract 89 from both sides of the equation \(137=x + 89\). We get \(x=137 - 89\).
\(x = 48\)

Answer:

\(x = 48\)