Question

find the measure of the third exterior angle in this triangle.

Explanation:

Step1: Recall the sum of exterior angles of a triangle

The sum of the exterior angles of any triangle is \(360^{\circ}\).

Step2: Set up the equation

Let the unknown exterior angle be \(x\). We know two exterior angles: \(120^{\circ}\) and \(160^{\circ}\). Then \(x + 120^{\circ}+160^{\circ}=360^{\circ}\).

Step3: Solve for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(80^{\circ}\)