Question

the measure of angle stv is 150°. the measure of angle stw is 110°. the measure of angle wtv is x°. find the value of x.

Explanation:

Step1: Analyze the relationship between angles

We know that \(\angle STV=\angle STW + \angle WTV\).

Step2: Substitute the known values

Given \(\angle STV = 150^{\circ}\) and \(\angle STW=110^{\circ}\). Substituting into the equation \(150 = 110+x\).

Step3: Solve for \(x\)

Subtract \(110\) from both sides of the equation: \(x=150 - 110\).

Answer:

\(40\)