Question

1. 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

We have the exterior angle of \(102^{\circ}\) and two non - adjacent interior angles \(35^{\circ}\) and \(x^{\circ}\). So, \(102 = 35+x\).

Step3: Solve for \(x\)

Subtract 35 from both sides of the equation: \(x=102 - 35\).
\(x = 67\)

Answer:

\(67\)