Question

which equation can you use to find the value of x?
x = 120 + 35
x = 120 - 35
x + 120 + 35 = 180
x + 120 - 35 = 180
exterior angle = non - adjacent interior angle + non - adjacent interior angle

Explanation:

Step1: Recall Exterior Angle Theorem

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

Step2: Identify Angles

In the given triangle, the exterior angle is \(x\), and the two non - adjacent interior angles are \(120^{\circ}\) and \(35^{\circ}\).

Step3: Apply the Theorem

According to the exterior angle theorem, we have the equation \(x=120 + 35\).

Answer:

\(x = 120+35\) (the first option: \(x = 120 + 35\))