Question

the measure of angle stw is 105°. the measure of angle wtv is 45°. the measure of angle stv is x°. find the value of x. x =

Explanation:

Step1: Analyze the relationship between angles

We know that the measure of angle \(STV\) (\(x^{\circ}\)) is composed of the measure of angle \(STW\) (\(105^{\circ}\)) and the measure of angle \(WTV\) (\(45^{\circ}\)). So, \(x=\angle STW+\angle WTV\).

Step2: Calculate the value of \(x\)

Substitute the given angle measures into the formula: \(x = 105 + 45\).

Answer:

\(x = 150\)