Question

what is the value of w?
36°
7w - 36°
10w - 48°
w = °

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, \(10w - 48=36+(7w - 36)\).

Step2: Simplify the right - hand side of the equation

Simplify \(36+(7w - 36)\): \(36 + 7w-36=7w\). The equation becomes \(10w - 48=7w\).

Step3: Solve for \(w\)

Subtract \(7w\) from both sides: \(10w-7w - 48=7w-7w\), which gives \(3w-48 = 0\). Then add \(48\) to both sides: \(3w-48 + 48=48\), so \(3w=48\). Divide both sides by \(3\): \(w=\frac{48}{3}\).

Answer:

\(16\)