Question

the measure of angle $stv$ is $75^{circ}$. the measure of angle $wtv$ is $30^{circ}$. the measure of angle $stw$ is $x^{circ}$. find the value of $x$. $x = square$

Explanation:

Step1: Analyze the relationship between angles

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

Step2: Substitute the known values

Given \(\angle STV = 75^{\circ}\) and \(\angle WTV=30^{\circ}\), substituting into the equation \(75^{\circ}=x^{\circ}+ 30^{\circ}\).

Step3: Solve for \(x\)

Using the subtraction property of equality, \(x = 75 - 30\).

Answer:

\(x = 45\)