Question

what is the value of x? 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.

Step2: Set up the equation

Given the exterior angle of measure \(100^{\circ}\) and non - adjacent interior angles \(70^{\circ}\) and \(x\), we have the equation \(100 = 70+x\).

Step3: Solve for \(x\)

Subtract \(70\) from both sides of the equation: \(x=100 - 70\).

Answer:

\(30\)