Question

what is the value of w?
36°
28w - 35°
w + 37°
w = °
submit

Explanation:

Step1: Apply the 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. So, \(28w - 35=(w + 37)+36\).

Step2: Simplify the right - hand side

Simplify \((w + 37)+36\) to get \(w+73\). So the equation becomes \(28w - 35=w + 73\).

Step3: Subtract \(w\) from both sides

\(28w-w-35=w - w+73\), which simplifies to \(27w-35 = 73\).

Step4: Add 35 to both sides

\(27w-35 + 35=73 + 35\), so \(27w=108\).

Step5: Divide both sides by 27

\(w=\frac{108}{27}\).

Answer:

\(4\)