Question

what is the value of w?
w = □°

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
So, \(w + 39^{\circ}=(w + 1^{\circ})+w\)

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(w\)

Subtract \(w\) from both sides: \(39=w + 1\)
Subtract \(1\) from both sides: \(w=39 - 1=38\)

Answer:

\(w = 38\)