Question

kevin draws the letter v on a piece of paper that has parallel lines. this letter v creates an angle with a measurement of $x^{circ}$. 105° 105° what is this value of $x$? enter the correct value in the box.

Explanation:

Step1: Find the corresponding angle

The angle of \(105^{\circ}\) has a corresponding - angle with the same measure formed by the parallel lines.

Step2: Use the linear - pair property

The \(x^{\circ}\) angle and the \(105^{\circ}\) corresponding angle form a linear pair. Since the sum of angles in a linear pair is \(180^{\circ}\), we have the equation \(x + 105=180\).

Step3: Solve for \(x\)

Subtract \(105\) from both sides of the equation: \(x=180 - 105\).
\(x = 75\)

Answer:

\(75\)