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 exterior angle be \(127^{\circ}\), and the two non - adjacent interior angles be \(x^{\circ}\) and \(68^{\circ}\). So, \(127=x + 68\).

Step2: Solve for \(x\)

Subtract 68 from both sides of the equation \(127=x + 68\). We get \(x=127 - 68\).
\(x = 59\)

Answer:

\(x = 59\)