Question

what is the value of w?

Explanation:

Step1: Identify angle - relationship

We know that the large angle of 80° is composed of two non - overlapping angles, one is 50° and the other is w.

Step2: Use angle - addition property

By the angle - addition property, if a large angle is composed of two non - overlapping angles, then the measure of the large angle is the sum of the measures of the two smaller angles. So, \(w + 50^{\circ}=80^{\circ}\).

Step3: Solve for w

Subtract 50° from both sides of the equation: \(w=80^{\circ}- 50^{\circ}\).

Answer:

\(30^{\circ}\)