Question

solve for x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

Let the exterior angle be \(105^{\circ}\) and the non - adjacent interior angles be \(x\) and \(x\). So, \(x + x=105^{\circ}\).

Step3: Simplify the equation

Combining like terms gives \(2x = 105^{\circ}\).

Step4: Solve for \(x\)

Dividing both sides by 2, we get \(x=\frac{105^{\circ}}{2}=52.5^{\circ}\).

Answer:

\(52.5^{\circ}\)