Question

a triangle has interior angle measures of 54°, w, and 83°. what is the value of w?

w = □°

Explanation:

Step1: Recall the sum of interior angles of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(54^{\circ}+w + 83^{\circ}=180^{\circ}\).

Step2: Solve for \(w\)

First, add \(54^{\circ}\) and \(83^{\circ}\): \(54 + 83=137\). Then the equation becomes \(w+137^{\circ}=180^{\circ}\). Subtract \(137^{\circ}\) from both sides: \(w=180^{\circ}-137^{\circ}\).

Answer:

\(43\)